Least Common Multiple of 45/53, 20/77, 21/20, 12/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/53, 20/77, 21/20, 12/338 quickly i.e. 1260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/53, 20/77, 21/20, 12/338 is 1260.

LCM(45/53, 20/77, 21/20, 12/338) = 1260

LCM of 45/53, 20/77, 21/20, 12/338

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 45/53,20/77,21/20,12/338

Given numbers are 45/53,20/77,21/20,12/338

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 45,20,21,12

Least Common Multiple of Numerators i.e. LCM of 45,20,21,12 is 1260.

GCF of Denominators means GCF of 53,77,20,338 as per the given fractions.

GCF of 53,77,20,338 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,20,21,12

LCM of Fractions 45/53,20/77,21/20,12/338 is 1260

2 45, 20, 21, 12
2 45, 10, 21, 6
3 45, 5, 21, 3
5 15, 5, 7, 1
3, 1, 7, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 3 x 1 x 7 x 1 = 1260

Least Common Multiple of 45,20,21,12 with GCF Formula

Least Common Multiple of 45,20,21,12 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 45,20,21,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,20,21,12) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(45,20,21,12) x common factors =1 x 180 = 180

LCM(45,20,21,12) = ( 45 × 20 × 21 × 12 ) / 180

LCM(45,20,21,12) = 226800 / 180

LCM(45,20,21,12) = 1260


Lets's calculate GCF of 53,77,20,338

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1260/1

Therefore the LCM of Fractions 45/53,20/77,21/20,12/338 is 1260

Greatest Common Factor of 53,77,20,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,77,20,338 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 53,77,20,338 . The biggest common factor number is the GCF number.
So the greatest common factor 53,77,20,338 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 45/53, 20/77, 21/20, 12/338

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 45/53, 20/77, 21/20, 12/338?

Answer: LCM of Numerators as per given numbers 45/53, 20/77, 21/20, 12/338 is

LCM of Numerators i.e. for 45,20,21,12 is 1260

GCF of denominators i.e. for 53,77,20,338 is 1.

Thus, LCM of Fractions is 1260.Finally, LCM of Fractions for 45/53, 20/77, 21/20, 12/338 is 1260.