Least Common Multiple of 64/58, 10/27, 356/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/58, 10/27, 356/538 quickly i.e. 28480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/58, 10/27, 356/538 is 28480.

LCM(64/58, 10/27, 356/538) = 28480

LCM of 64/58, 10/27, 356/538

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 64/58,10/27,356/538

Given numbers are 64/58,10/27,356/538

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 64,10,356

Least Common Multiple of Numerators i.e. LCM of 64,10,356 is 28480.

GCF of Denominators means GCF of 58,27,538 as per the given fractions.

GCF of 58,27,538 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,10,356

LCM of Fractions 64/58,10/27,356/538 is 28480

2 64, 10, 356
2 32, 5, 178
16, 5, 89

∴ So the LCM of the given numbers is 2 x 2 x 16 x 5 x 89 = 28480

Least Common Multiple of 64,10,356 with GCF Formula

Least Common Multiple of 64,10,356 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 64,10,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,10,356) = 2

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

GCF(64,10,356) x common factors =2 x 4 = 8

LCM(64,10,356) = ( 64 × 10 × 356 ) / 8

LCM(64,10,356) = 227840 / 8

LCM(64,10,356) = 28480


Lets's calculate GCF of 58,27,538

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28480/1

Therefore the LCM of Fractions 64/58,10/27,356/538 is 28480

Greatest Common Factor of 58,27,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,27,538 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 58,27,538 . The biggest common factor number is the GCF number.
So the greatest common factor 58,27,538 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 64/58, 10/27, 356/538

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 64/58, 10/27, 356/538?

Answer: LCM of Numerators as per given numbers 64/58, 10/27, 356/538 is

LCM of Numerators i.e. for 64,10,356 is 28480

GCF of denominators i.e. for 58,27,538 is 1.

Thus, LCM of Fractions is 28480.Finally, LCM of Fractions for 64/58, 10/27, 356/538 is 28480.