Least Common Multiple of 22/57, 78/37, 169/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/57, 78/37, 169/660 quickly i.e. 11154 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/57, 78/37, 169/660 is 11154.

LCM(22/57, 78/37, 169/660) = 11154

LCM of 22/57, 78/37, 169/660

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 22/57,78/37,169/660

Given numbers are 22/57,78/37,169/660

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 22,78,169

Least Common Multiple of Numerators i.e. LCM of 22,78,169 is 11154.

GCF of Denominators means GCF of 57,37,660 as per the given fractions.

GCF of 57,37,660 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,78,169

LCM of Fractions 22/57,78/37,169/660 is 11154

2 22, 78, 169
13 11, 39, 169
11, 3, 13

∴ So the LCM of the given numbers is 2 x 13 x 11 x 3 x 13 = 11154

Least Common Multiple of 22,78,169 with GCF Formula

Least Common Multiple of 22,78,169 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 22,78,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,78,169) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(22,78,169) x common factors =1 x 26 = 26

LCM(22,78,169) = ( 22 × 78 × 169 ) / 26

LCM(22,78,169) = 290004 / 26

LCM(22,78,169) = 11154


Lets's calculate GCF of 57,37,660

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11154/1

Therefore the LCM of Fractions 22/57,78/37,169/660 is 11154

Greatest Common Factor of 57,37,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,37,660 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 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 57,37,660 . The biggest common factor number is the GCF number.
So the greatest common factor 57,37,660 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 22/57, 78/37, 169/660

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 22/57, 78/37, 169/660?

Answer: LCM of Numerators as per given numbers 22/57, 78/37, 169/660 is

LCM of Numerators i.e. for 22,78,169 is 11154

GCF of denominators i.e. for 57,37,660 is 1.

Thus, LCM of Fractions is 11154.Finally, LCM of Fractions for 22/57, 78/37, 169/660 is 11154.