Least Common Multiple of 47/57, 77/21, 22/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/57, 77/21, 22/321 quickly i.e. 7238/3 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, 77/21, 22/321 is 7238/3.

LCM(47/57, 77/21, 22/321) = 7238/3

LCM of 47/57, 77/21, 22/321

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 47/57,77/21,22/321

Given numbers are 47/57,77/21,22/321

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 47,77,22

Least Common Multiple of Numerators i.e. LCM of 47,77,22 is 7238.

GCF of Denominators means GCF of 57,21,321 as per the given fractions.

GCF of 57,21,321 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,77,22

LCM of Fractions 47/57,77/21,22/321 is 7238/3

11 47, 77, 22
47, 7, 2

∴ So the LCM of the given numbers is 11 x 47 x 7 x 2 = 7238

Least Common Multiple of 47,77,22 with GCF Formula

Least Common Multiple of 47,77,22 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 47,77,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,77,22) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(47,77,22) x common factors =1 x 11 = 11

LCM(47,77,22) = ( 47 × 77 × 22 ) / 11

LCM(47,77,22) = 79618 / 11

LCM(47,77,22) = 7238


Lets's calculate GCF of 57,21,321

3 57, 21, 321
19, 7, 107

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7238/3

Therefore the LCM of Fractions 47/57,77/21,22/321 is 7238/3

Greatest Common Factor of 57,21,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,21,321 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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 57,21,321 . The biggest common factor number is the GCF number.
So the greatest common factor 57,21,321 is 3.


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, 77/21, 22/321

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, 77/21, 22/321?

Answer: LCM of Numerators as per given numbers 47/57, 77/21, 22/321 is

LCM of Numerators i.e. for 47,77,22 is 7238

GCF of denominators i.e. for 57,21,321 is 3.

Thus, LCM of Fractions is 7238/3.Finally, LCM of Fractions for 47/57, 77/21, 22/321 is 7238/3.