Least Common Multiple of 47/57, 202/85, 928/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/57, 202/85, 928/860 quickly i.e. 4405216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/57, 202/85, 928/860 is 4405216.

LCM(47/57, 202/85, 928/860) = 4405216

LCM of 47/57, 202/85, 928/860

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 47/57,202/85,928/860

Given numbers are 47/57,202/85,928/860

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 47,202,928

Least Common Multiple of Numerators i.e. LCM of 47,202,928 is 4405216.

GCF of Denominators means GCF of 57,85,860 as per the given fractions.

GCF of 57,85,860 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,202,928

LCM of Fractions 47/57,202/85,928/860 is 4405216

2 47, 202, 928
47, 101, 464

∴ So the LCM of the given numbers is 2 x 47 x 101 x 464 = 4405216

Least Common Multiple of 47,202,928 with GCF Formula

Least Common Multiple of 47,202,928 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 47,202,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,202,928) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(47,202,928) x common factors =1 x 2 = 2

LCM(47,202,928) = ( 47 × 202 × 928 ) / 2

LCM(47,202,928) = 8810432 / 2

LCM(47,202,928) = 4405216


Lets's calculate GCF of 57,85,860

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4405216/1

Therefore the LCM of Fractions 47/57,202/85,928/860 is 4405216

Greatest Common Factor of 57,85,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,85,860 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 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 57,85,860 . The biggest common factor number is the GCF number.
So the greatest common factor 57,85,860 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 47/57, 202/85, 928/860

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 47/57, 202/85, 928/860?

Answer: LCM of Numerators as per given numbers 47/57, 202/85, 928/860 is

LCM of Numerators i.e. for 47,202,928 is 4405216

GCF of denominators i.e. for 57,85,860 is 1.

Thus, LCM of Fractions is 4405216.Finally, LCM of Fractions for 47/57, 202/85, 928/860 is 4405216.