Least Common Multiple of 2687/68, 9624/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2687/68, 9624/462 quickly i.e. 12929844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2687/68, 9624/462 is 12929844.

LCM(2687/68, 9624/462) = 12929844

LCM of 2687/68, 9624/462

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 2687/68,9624/462

Given numbers are 2687/68,9624/462

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 2687,9624

Least Common Multiple of Numerators i.e. LCM of 2687,9624 is 25859688.

GCF of Denominators means GCF of 68,462 as per the given fractions.

GCF of 68,462 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2687,9624

LCM of Fractions 2687/68,9624/462 is 12929844

Given numbers has no common factors except 1. So, there LCM is their product i.e 25859688

Least Common Multiple of 2687,9624 with GCF Formula

Least Common Multiple of 2687,9624 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 2687,9624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2687,9624) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(2687,9624) x common factors =1 x 1 = 1

LCM(2687,9624) = ( 2687 × 9624 ) / 1

LCM(2687,9624) = 25859688 / 1

LCM(2687,9624) = 25859688


Lets's calculate GCF of 68,462

2 68, 462
34, 231

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25859688/2

Therefore the LCM of Fractions 2687/68,9624/462 is 12929844

Greatest Common Factor of 68,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,462 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 68,462 . The biggest common factor number is the GCF number.
So the greatest common factor 68,462 is 2.


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Frequently Asked Questions on Fractional LCM of 2687/68, 9624/462

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 2687/68, 9624/462?

Answer: LCM of Numerators as per given numbers 2687/68, 9624/462 is

LCM of Numerators i.e. for 2687,9624 is 25859688

GCF of denominators i.e. for 68,462 is 2.

Thus, LCM of Fractions is 12929844.Finally, LCM of Fractions for 2687/68, 9624/462 is 12929844.