Least Common Multiple of 5016/134, 6538/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5016/134, 6538/974 quickly i.e. 8198652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5016/134, 6538/974 is 8198652.

LCM(5016/134, 6538/974) = 8198652

LCM of 5016/134, 6538/974

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 5016/134,6538/974

Given numbers are 5016/134,6538/974

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 5016,6538

Least Common Multiple of Numerators i.e. LCM of 5016,6538 is 16397304.

GCF of Denominators means GCF of 134,974 as per the given fractions.

GCF of 134,974 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5016,6538

LCM of Fractions 5016/134,6538/974 is 8198652

2 5016, 6538
2508, 3269

∴ So the LCM of the given numbers is 2 x 2508 x 3269 = 16397304

Least Common Multiple of 5016,6538 with GCF Formula

Least Common Multiple of 5016,6538 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 5016,6538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5016,6538) = 2

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

GCF(5016,6538) x common factors =2 x 1 = 2

LCM(5016,6538) = ( 5016 × 6538 ) / 2

LCM(5016,6538) = 32794608 / 2

LCM(5016,6538) = 16397304


Lets's calculate GCF of 134,974

2 134, 974
67, 487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16397304/2

Therefore the LCM of Fractions 5016/134,6538/974 is 8198652

Greatest Common Factor of 134,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,974 By Matching Biggest Common Factor Method

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 134,974 . The biggest common factor number is the GCF number.
So the greatest common factor 134,974 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 5016/134, 6538/974

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 5016/134, 6538/974?

Answer: LCM of Numerators as per given numbers 5016/134, 6538/974 is

LCM of Numerators i.e. for 5016,6538 is 16397304

GCF of denominators i.e. for 134,974 is 2.

Thus, LCM of Fractions is 8198652.Finally, LCM of Fractions for 5016/134, 6538/974 is 8198652.