Least Common Multiple of 6131/301, 3374/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6131/301, 3374/504 quickly i.e. 2955142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6131/301, 3374/504 is 2955142.

LCM(6131/301, 3374/504) = 2955142

LCM of 6131/301, 3374/504

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 6131/301,3374/504

Given numbers are 6131/301,3374/504

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 6131,3374

Least Common Multiple of Numerators i.e. LCM of 6131,3374 is 20685994.

GCF of Denominators means GCF of 301,504 as per the given fractions.

GCF of 301,504 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6131,3374

LCM of Fractions 6131/301,3374/504 is 2955142

Given numbers has no common factors except 1. So, there LCM is their product i.e 20685994

Least Common Multiple of 6131,3374 with GCF Formula

Least Common Multiple of 6131,3374 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 6131,3374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6131,3374) = 1

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

GCF(6131,3374) x common factors =1 x 1 = 1

LCM(6131,3374) = ( 6131 × 3374 ) / 1

LCM(6131,3374) = 20685994 / 1

LCM(6131,3374) = 20685994


Lets's calculate GCF of 301,504

7 301, 504
43, 72

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20685994/7

Therefore the LCM of Fractions 6131/301,3374/504 is 2955142

Greatest Common Factor of 301,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,504 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 301,504 . The biggest common factor number is the GCF number.
So the greatest common factor 301,504 is 7.


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 6131/301, 3374/504

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 6131/301, 3374/504?

Answer: LCM of Numerators as per given numbers 6131/301, 3374/504 is

LCM of Numerators i.e. for 6131,3374 is 20685994

GCF of denominators i.e. for 301,504 is 7.

Thus, LCM of Fractions is 2955142.Finally, LCM of Fractions for 6131/301, 3374/504 is 2955142.