Least Common Multiple of 29/57, 15/961, 925/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/57, 15/961, 925/752 quickly i.e. 80475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/57, 15/961, 925/752 is 80475.

LCM(29/57, 15/961, 925/752) = 80475

LCM of 29/57, 15/961, 925/752

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 29/57,15/961,925/752

Given numbers are 29/57,15/961,925/752

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 29,15,925

Least Common Multiple of Numerators i.e. LCM of 29,15,925 is 80475.

GCF of Denominators means GCF of 57,961,752 as per the given fractions.

GCF of 57,961,752 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,15,925

LCM of Fractions 29/57,15/961,925/752 is 80475

5 29, 15, 925
29, 3, 185

∴ So the LCM of the given numbers is 5 x 29 x 3 x 185 = 80475

Least Common Multiple of 29,15,925 with GCF Formula

Least Common Multiple of 29,15,925 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 29,15,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,15,925) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(29,15,925) x common factors =1 x 5 = 5

LCM(29,15,925) = ( 29 × 15 × 925 ) / 5

LCM(29,15,925) = 402375 / 5

LCM(29,15,925) = 80475


Lets's calculate GCF of 57,961,752

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80475/1

Therefore the LCM of Fractions 29/57,15/961,925/752 is 80475

Greatest Common Factor of 57,961,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,961,752 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 57,961,752 . The biggest common factor number is the GCF number.
So the greatest common factor 57,961,752 is 1.


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 29/57, 15/961, 925/752

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 29/57, 15/961, 925/752?

Answer: LCM of Numerators as per given numbers 29/57, 15/961, 925/752 is

LCM of Numerators i.e. for 29,15,925 is 80475

GCF of denominators i.e. for 57,961,752 is 1.

Thus, LCM of Fractions is 80475.Finally, LCM of Fractions for 29/57, 15/961, 925/752 is 80475.