Least Common Multiple of 157/57, 467/40, 275/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 157/57, 467/40, 275/740 quickly i.e. 20162725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 157/57, 467/40, 275/740 is 20162725.

LCM(157/57, 467/40, 275/740) = 20162725

LCM of 157/57, 467/40, 275/740

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 157/57,467/40,275/740

Given numbers are 157/57,467/40,275/740

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 157,467,275

Least Common Multiple of Numerators i.e. LCM of 157,467,275 is 20162725.

GCF of Denominators means GCF of 57,40,740 as per the given fractions.

GCF of 57,40,740 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 157,467,275

LCM of Fractions 157/57,467/40,275/740 is 20162725

Given numbers has no common factors except 1. So, there LCM is their product i.e 20162725

Least Common Multiple of 157,467,275 with GCF Formula

Least Common Multiple of 157,467,275 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 157,467,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,467,275) = 1

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

GCF(157,467,275) x common factors =1 x 1 = 1

LCM(157,467,275) = ( 157 × 467 × 275 ) / 1

LCM(157,467,275) = 20162725 / 1

LCM(157,467,275) = 20162725


Lets's calculate GCF of 57,40,740

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20162725/1

Therefore the LCM of Fractions 157/57,467/40,275/740 is 20162725

Greatest Common Factor of 57,40,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,40,740 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 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 57,40,740 . The biggest common factor number is the GCF number.
So the greatest common factor 57,40,740 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 157/57, 467/40, 275/740

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 157/57, 467/40, 275/740?

Answer: LCM of Numerators as per given numbers 157/57, 467/40, 275/740 is

LCM of Numerators i.e. for 157,467,275 is 20162725

GCF of denominators i.e. for 57,40,740 is 1.

Thus, LCM of Fractions is 20162725.Finally, LCM of Fractions for 157/57, 467/40, 275/740 is 20162725.