Least Common Multiple of 70/675, 7476/5931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/675, 7476/5931 quickly i.e. 37380/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/675, 7476/5931 is 37380/9.

LCM(70/675, 7476/5931) = 37380/9

LCM of 70/675, 7476/5931

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 70/675,7476/5931

Given numbers are 70/675,7476/5931

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 70,7476

Least Common Multiple of Numerators i.e. LCM of 70,7476 is 37380.

GCF of Denominators means GCF of 675,5931 as per the given fractions.

GCF of 675,5931 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,7476

LCM of Fractions 70/675,7476/5931 is 37380/9

2 70, 7476
7 35, 3738
5, 534

∴ So the LCM of the given numbers is 2 x 7 x 5 x 534 = 37380

Least Common Multiple of 70,7476 with GCF Formula

Least Common Multiple of 70,7476 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 70,7476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,7476) = 14

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

GCF(70,7476) x common factors =14 x 1 = 14

LCM(70,7476) = ( 70 × 7476 ) / 14

LCM(70,7476) = 523320 / 14

LCM(70,7476) = 37380


Lets's calculate GCF of 675,5931

3 675, 5931
3 225, 1977
75, 659

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37380/9

Therefore the LCM of Fractions 70/675,7476/5931 is 37380/9

Greatest Common Factor of 675,5931 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,5931 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 5931

List of positive integer factors of 5931 that divides 5931 without a remainder.

1,3,9,659,1977,5931

Greatest Common Factor

We found the factors 675,5931 . The biggest common factor number is the GCF number.
So the greatest common factor 675,5931 is 9.


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 70/675, 7476/5931

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 70/675, 7476/5931?

Answer: LCM of Numerators as per given numbers 70/675, 7476/5931 is

LCM of Numerators i.e. for 70,7476 is 37380

GCF of denominators i.e. for 675,5931 is 9.

Thus, LCM of Fractions is 37380/9.Finally, LCM of Fractions for 70/675, 7476/5931 is 37380/9.