Least Common Multiple of 64/577, 84/228, 103/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/577, 84/228, 103/316 quickly i.e. 138432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/577, 84/228, 103/316 is 138432.

LCM(64/577, 84/228, 103/316) = 138432

LCM of 64/577, 84/228, 103/316

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 64/577,84/228,103/316

Given numbers are 64/577,84/228,103/316

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 64,84,103

Least Common Multiple of Numerators i.e. LCM of 64,84,103 is 138432.

GCF of Denominators means GCF of 577,228,316 as per the given fractions.

GCF of 577,228,316 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,84,103

LCM of Fractions 64/577,84/228,103/316 is 138432

2 64, 84, 103
2 32, 42, 103
16, 21, 103

∴ So the LCM of the given numbers is 2 x 2 x 16 x 21 x 103 = 138432

Least Common Multiple of 64,84,103 with GCF Formula

Least Common Multiple of 64,84,103 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 64,84,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,84,103) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,84,103) x common factors =1 x 4 = 4

LCM(64,84,103) = ( 64 × 84 × 103 ) / 4

LCM(64,84,103) = 553728 / 4

LCM(64,84,103) = 138432


Lets's calculate GCF of 577,228,316

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138432/1

Therefore the LCM of Fractions 64/577,84/228,103/316 is 138432

Greatest Common Factor of 577,228,316 By Matching Biggest Common Factor Method

Greatest Common Factor of 577,228,316 By Matching Biggest Common Factor Method

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Greatest Common Factor

We found the factors 577,228,316 . The biggest common factor number is the GCF number.
So the greatest common factor 577,228,316 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 64/577, 84/228, 103/316

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 64/577, 84/228, 103/316?

Answer: LCM of Numerators as per given numbers 64/577, 84/228, 103/316 is

LCM of Numerators i.e. for 64,84,103 is 138432

GCF of denominators i.e. for 577,228,316 is 1.

Thus, LCM of Fractions is 138432.Finally, LCM of Fractions for 64/577, 84/228, 103/316 is 138432.