lcm math - Wikitechy https://www.wikitechy.com/interview-questions/tag/lcm-math/ Interview Questions Mon, 20 Sep 2021 04:42:53 +0000 en-US hourly 1 https://wordpress.org/?v=6.9 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png lcm math - Wikitechy https://www.wikitechy.com/interview-questions/tag/lcm-math/ 32 32 What is the smallest number that leaves a remainder of 2 when divided by 3, 4, 5, and 6 ? https://www.wikitechy.com/interview-questions/lcm-and-hcf/what-is-the-smallest-number-that-leaves-a-remainder-of-2-when-divided-by-3-4-5-and-6/ https://www.wikitechy.com/interview-questions/lcm-and-hcf/what-is-the-smallest-number-that-leaves-a-remainder-of-2-when-divided-by-3-4-5-and-6/#respond Tue, 17 Aug 2021 17:56:25 +0000 https://www.wikitechy.com/interview-questions/?p=1846 What is the smallest number that leaves a remainder of 2 when divided by 3, 4, 5, and 6 ?

A. 56

B. 128

C. 62

D. 32

Answer : C. 62

Explanation:

Take the lcm of 3 , 4 , 5 , 6.
3 = 3×1
4 = 2×2
5 = 5×1
6 = 2×3
LCM = 2 × 2 × 3 × 5 = 60
Therefore 60 is the number that is completely divisible by these numbers. But we have to find the smallest number that leaves remainder 2.
Answer : 60 + 2 = 62

]]> https://www.wikitechy.com/interview-questions/lcm-and-hcf/what-is-the-smallest-number-that-leaves-a-remainder-of-2-when-divided-by-3-4-5-and-6/feed/ 0 Find the greatest number which on dividing 1661 and 2045, leaves a remainder of 10 and 13 respectively ? https://www.wikitechy.com/interview-questions/lcm-and-hcf/find-the-greatest-number-which-on-dividing-1661-and-2045-leaves-a-remainder-of-10-and-13-respectively/ https://www.wikitechy.com/interview-questions/lcm-and-hcf/find-the-greatest-number-which-on-dividing-1661-and-2045-leaves-a-remainder-of-10-and-13-respectively/#respond Tue, 17 Aug 2021 17:48:26 +0000 https://www.wikitechy.com/interview-questions/?p=1842

Find the greatest number which on dividing 1661 and 2045, leaves a remainder of 10 and 13 respectively ?

A. 91

B. 127

C. 137

D. 140

Answer : B . 127

Explanation:

In this type of question, we need to calculate the HCF, trick is,
HCF (1661 – 10) and (2045 -13)
= HCF (1651, 2032)
= 127

]]> https://www.wikitechy.com/interview-questions/lcm-and-hcf/find-the-greatest-number-which-on-dividing-1661-and-2045-leaves-a-remainder-of-10-and-13-respectively/feed/ 0 If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to ? https://www.wikitechy.com/interview-questions/lcm-and-hcf/if-the-sum-of-two-numbers-is-55-and-the-hcf-and-lcm-of-these-numbers-are-5-and-120-respectively-then-the-sum-of-the-reciprocals-of-the-numbers-is-equal-to/ https://www.wikitechy.com/interview-questions/lcm-and-hcf/if-the-sum-of-two-numbers-is-55-and-the-hcf-and-lcm-of-these-numbers-are-5-and-120-respectively-then-the-sum-of-the-reciprocals-of-the-numbers-is-equal-to/#respond Tue, 17 Aug 2021 17:36:14 +0000 https://www.wikitechy.com/interview-questions/?p=1838

If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to ?

A. 11/120

B. 55/501

C. 11/60

D. 12/55

Answer : A. 11/120

Explanation:

Let the numbers be a and b.
Thus a + b = 55 and ab = 5 x 120 = 600
Thus 1/a + 1/b
= (b + a)/(ab)
= 55/600
= 11/120

]]> https://www.wikitechy.com/interview-questions/lcm-and-hcf/if-the-sum-of-two-numbers-is-55-and-the-hcf-and-lcm-of-these-numbers-are-5-and-120-respectively-then-the-sum-of-the-reciprocals-of-the-numbers-is-equal-to/feed/ 0 The LCM of two positive no’s is 168 and their product is 504. what is the difference in their squares ? https://www.wikitechy.com/interview-questions/lcm-and-hcf/the-lcm-of-two-positive-nos-is-168-and-their-product-is-504-what-is-the-difference-in-their-squares/ https://www.wikitechy.com/interview-questions/lcm-and-hcf/the-lcm-of-two-positive-nos-is-168-and-their-product-is-504-what-is-the-difference-in-their-squares/#respond Tue, 17 Aug 2021 17:26:37 +0000 https://www.wikitechy.com/interview-questions/?p=1835

The LCM of two positive no’s is 168 and their product is 504. what is the difference in their squares?

A. 175

B. 216

C. 9

D. 135

Answer : D. 135…

504 = 2*2*2*3*3*7 = 8*3*3*7 = 24*21
168 = 2*2*2*3*7
It means 3 will come in both the numbers as 3 is coming once in LCM but coming as 9 in product.
so possible numbers are 24 and 21.

Now the difference of the square of these numbers is a^2-b^2 = (a+b)(a-b)
= (24+21)(24-21)
= 45(3)
= 135

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