Least Common Multiple of 57/36, 41/575, 125/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/36, 41/575, 125/850 quickly i.e. 292125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/36, 41/575, 125/850 is 292125.

LCM(57/36, 41/575, 125/850) = 292125

LCM of 57/36, 41/575, 125/850

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 57/36,41/575,125/850

Given numbers are 57/36,41/575,125/850

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 57,41,125

Least Common Multiple of Numerators i.e. LCM of 57,41,125 is 292125.

GCF of Denominators means GCF of 36,575,850 as per the given fractions.

GCF of 36,575,850 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,41,125

LCM of Fractions 57/36,41/575,125/850 is 292125

Given numbers has no common factors except 1. So, there LCM is their product i.e 292125

Least Common Multiple of 57,41,125 with GCF Formula

Least Common Multiple of 57,41,125 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 57,41,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,41,125) = 1

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

GCF(57,41,125) x common factors =1 x 1 = 1

LCM(57,41,125) = ( 57 × 41 × 125 ) / 1

LCM(57,41,125) = 292125 / 1

LCM(57,41,125) = 292125


Lets's calculate GCF of 36,575,850

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292125/1

Therefore the LCM of Fractions 57/36,41/575,125/850 is 292125

Greatest Common Factor of 36,575,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,575,850 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 36,575,850 . The biggest common factor number is the GCF number.
So the greatest common factor 36,575,850 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 57/36, 41/575, 125/850

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 57/36, 41/575, 125/850?

Answer: LCM of Numerators as per given numbers 57/36, 41/575, 125/850 is

LCM of Numerators i.e. for 57,41,125 is 292125

GCF of denominators i.e. for 36,575,850 is 1.

Thus, LCM of Fractions is 292125.Finally, LCM of Fractions for 57/36, 41/575, 125/850 is 292125.