Least Common Multiple of 475/37, 6725/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 475/37, 6725/962 quickly i.e. 127775/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 475/37, 6725/962 is 127775/37.

LCM(475/37, 6725/962) = 127775/37

LCM of 475/37, 6725/962

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 475/37,6725/962

Given numbers are 475/37,6725/962

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 475,6725

Least Common Multiple of Numerators i.e. LCM of 475,6725 is 127775.

GCF of Denominators means GCF of 37,962 as per the given fractions.

GCF of 37,962 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 475,6725

LCM of Fractions 475/37,6725/962 is 127775/37

5 475, 6725
5 95, 1345
19, 269

∴ So the LCM of the given numbers is 5 x 5 x 19 x 269 = 127775

Least Common Multiple of 475,6725 with GCF Formula

Least Common Multiple of 475,6725 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 475,6725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,6725) = 25

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

GCF(475,6725) x common factors =25 x 1 = 25

LCM(475,6725) = ( 475 × 6725 ) / 25

LCM(475,6725) = 3194375 / 25

LCM(475,6725) = 127775


Lets's calculate GCF of 37,962

37 37, 962
1, 26

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127775/37

Therefore the LCM of Fractions 475/37,6725/962 is 127775/37

Greatest Common Factor of 37,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,962 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 37,962 . The biggest common factor number is the GCF number.
So the greatest common factor 37,962 is 37.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 475/37, 6725/962

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 475/37, 6725/962?

Answer: LCM of Numerators as per given numbers 475/37, 6725/962 is

LCM of Numerators i.e. for 475,6725 is 127775

GCF of denominators i.e. for 37,962 is 37.

Thus, LCM of Fractions is 127775/37.Finally, LCM of Fractions for 475/37, 6725/962 is 127775/37.