Least Common Multiple of 22/56, 249/71, 341/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/56, 249/71, 341/748 quickly i.e. 169818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/56, 249/71, 341/748 is 169818.

LCM(22/56, 249/71, 341/748) = 169818

LCM of 22/56, 249/71, 341/748

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 22/56,249/71,341/748

Given numbers are 22/56,249/71,341/748

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 22,249,341

Least Common Multiple of Numerators i.e. LCM of 22,249,341 is 169818.

GCF of Denominators means GCF of 56,71,748 as per the given fractions.

GCF of 56,71,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,249,341

LCM of Fractions 22/56,249/71,341/748 is 169818

11 22, 249, 341
2, 249, 31

∴ So the LCM of the given numbers is 11 x 2 x 249 x 31 = 169818

Least Common Multiple of 22,249,341 with GCF Formula

Least Common Multiple of 22,249,341 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 22,249,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,249,341) = 1

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

GCF(22,249,341) x common factors =1 x 11 = 11

LCM(22,249,341) = ( 22 × 249 × 341 ) / 11

LCM(22,249,341) = 1867998 / 11

LCM(22,249,341) = 169818


Lets's calculate GCF of 56,71,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169818/1

Therefore the LCM of Fractions 22/56,249/71,341/748 is 169818

Greatest Common Factor of 56,71,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,71,748 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 56,71,748 . The biggest common factor number is the GCF number.
So the greatest common factor 56,71,748 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 22/56, 249/71, 341/748

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 22/56, 249/71, 341/748?

Answer: LCM of Numerators as per given numbers 22/56, 249/71, 341/748 is

LCM of Numerators i.e. for 22,249,341 is 169818

GCF of denominators i.e. for 56,71,748 is 1.

Thus, LCM of Fractions is 169818.Finally, LCM of Fractions for 22/56, 249/71, 341/748 is 169818.