Least Common Multiple of 3134/52, 2587/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3134/52, 2587/520 quickly i.e. 8107658/52 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3134/52, 2587/520 is 8107658/52.

LCM(3134/52, 2587/520) = 8107658/52

LCM of 3134/52, 2587/520

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 3134/52,2587/520

Given numbers are 3134/52,2587/520

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 3134,2587

Least Common Multiple of Numerators i.e. LCM of 3134,2587 is 8107658.

GCF of Denominators means GCF of 52,520 as per the given fractions.

GCF of 52,520 is 52 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3134,2587

LCM of Fractions 3134/52,2587/520 is 8107658/52

Given numbers has no common factors except 1. So, there LCM is their product i.e 8107658

Least Common Multiple of 3134,2587 with GCF Formula

Least Common Multiple of 3134,2587 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 3134,2587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3134,2587) = 1

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

GCF(3134,2587) x common factors =1 x 1 = 1

LCM(3134,2587) = ( 3134 × 2587 ) / 1

LCM(3134,2587) = 8107658 / 1

LCM(3134,2587) = 8107658


Lets's calculate GCF of 52,520

2 52, 520
2 26, 260
13 13, 130
1, 10

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8107658/52

Therefore the LCM of Fractions 3134/52,2587/520 is 8107658/52

Greatest Common Factor of 52,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,520 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 52,520 . The biggest common factor number is the GCF number.
So the greatest common factor 52,520 is 52.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3134/52, 2587/520

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 3134/52, 2587/520?

Answer: LCM of Numerators as per given numbers 3134/52, 2587/520 is

LCM of Numerators i.e. for 3134,2587 is 8107658

GCF of denominators i.e. for 52,520 is 52.

Thus, LCM of Fractions is 8107658/52.Finally, LCM of Fractions for 3134/52, 2587/520 is 8107658/52.