Least Common Multiple of 45/64, 53/79, 381/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/64, 53/79, 381/641 quickly i.e. 302895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/64, 53/79, 381/641 is 302895.

LCM(45/64, 53/79, 381/641) = 302895

LCM of 45/64, 53/79, 381/641

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 45/64,53/79,381/641

Given numbers are 45/64,53/79,381/641

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 45,53,381

Least Common Multiple of Numerators i.e. LCM of 45,53,381 is 302895.

GCF of Denominators means GCF of 64,79,641 as per the given fractions.

GCF of 64,79,641 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,53,381

LCM of Fractions 45/64,53/79,381/641 is 302895

3 45, 53, 381
15, 53, 127

∴ So the LCM of the given numbers is 3 x 15 x 53 x 127 = 302895

Least Common Multiple of 45,53,381 with GCF Formula

Least Common Multiple of 45,53,381 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 45,53,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,53,381) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(45,53,381) x common factors =1 x 3 = 3

LCM(45,53,381) = ( 45 × 53 × 381 ) / 3

LCM(45,53,381) = 908685 / 3

LCM(45,53,381) = 302895


Lets's calculate GCF of 64,79,641

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 302895/1

Therefore the LCM of Fractions 45/64,53/79,381/641 is 302895

Greatest Common Factor of 64,79,641 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,79,641 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Greatest Common Factor

We found the factors 64,79,641 . The biggest common factor number is the GCF number.
So the greatest common factor 64,79,641 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 45/64, 53/79, 381/641

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 45/64, 53/79, 381/641?

Answer: LCM of Numerators as per given numbers 45/64, 53/79, 381/641 is

LCM of Numerators i.e. for 45,53,381 is 302895

GCF of denominators i.e. for 64,79,641 is 1.

Thus, LCM of Fractions is 302895.Finally, LCM of Fractions for 45/64, 53/79, 381/641 is 302895.