Least Common Multiple of 64/368, 21/684, 135/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/368, 21/684, 135/441 quickly i.e. 60480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/368, 21/684, 135/441 is 60480.

LCM(64/368, 21/684, 135/441) = 60480

LCM of 64/368, 21/684, 135/441

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 64/368,21/684,135/441

Given numbers are 64/368,21/684,135/441

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 64,21,135

Least Common Multiple of Numerators i.e. LCM of 64,21,135 is 60480.

GCF of Denominators means GCF of 368,684,441 as per the given fractions.

GCF of 368,684,441 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,21,135

LCM of Fractions 64/368,21/684,135/441 is 60480

3 64, 21, 135
64, 7, 45

∴ So the LCM of the given numbers is 3 x 64 x 7 x 45 = 60480

Least Common Multiple of 64,21,135 with GCF Formula

Least Common Multiple of 64,21,135 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 64,21,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,21,135) = 1

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

GCF(64,21,135) x common factors =1 x 3 = 3

LCM(64,21,135) = ( 64 × 21 × 135 ) / 3

LCM(64,21,135) = 181440 / 3

LCM(64,21,135) = 60480


Lets's calculate GCF of 368,684,441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60480/1

Therefore the LCM of Fractions 64/368,21/684,135/441 is 60480

Greatest Common Factor of 368,684,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,684,441 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 368,684,441 . The biggest common factor number is the GCF number.
So the greatest common factor 368,684,441 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 64/368, 21/684, 135/441

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 64/368, 21/684, 135/441?

Answer: LCM of Numerators as per given numbers 64/368, 21/684, 135/441 is

LCM of Numerators i.e. for 64,21,135 is 60480

GCF of denominators i.e. for 368,684,441 is 1.

Thus, LCM of Fractions is 60480.Finally, LCM of Fractions for 64/368, 21/684, 135/441 is 60480.