Least Common Multiple of 64/211, 266/360, 352/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/211, 266/360, 352/426 quickly i.e. 93632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/211, 266/360, 352/426 is 93632.

LCM(64/211, 266/360, 352/426) = 93632

LCM of 64/211, 266/360, 352/426

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 64/211,266/360,352/426

Given numbers are 64/211,266/360,352/426

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 64,266,352

Least Common Multiple of Numerators i.e. LCM of 64,266,352 is 93632.

GCF of Denominators means GCF of 211,360,426 as per the given fractions.

GCF of 211,360,426 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,266,352

LCM of Fractions 64/211,266/360,352/426 is 93632

2 64, 266, 352
2 32, 133, 176
2 16, 133, 88
2 8, 133, 44
2 4, 133, 22
2, 133, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 133 x 11 = 93632

Least Common Multiple of 64,266,352 with GCF Formula

Least Common Multiple of 64,266,352 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 64,266,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,266,352) = 2

common factors(in case of two or more numbers have common factors) = 32

GCF(64,266,352) x common factors =2 x 32 = 64

LCM(64,266,352) = ( 64 × 266 × 352 ) / 64

LCM(64,266,352) = 5992448 / 64

LCM(64,266,352) = 93632


Lets's calculate GCF of 211,360,426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93632/1

Therefore the LCM of Fractions 64/211,266/360,352/426 is 93632

Greatest Common Factor of 211,360,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 211,360,426 By Matching Biggest Common Factor Method

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 211,360,426 . The biggest common factor number is the GCF number.
So the greatest common factor 211,360,426 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 64/211, 266/360, 352/426

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 64/211, 266/360, 352/426?

Answer: LCM of Numerators as per given numbers 64/211, 266/360, 352/426 is

LCM of Numerators i.e. for 64,266,352 is 93632

GCF of denominators i.e. for 211,360,426 is 1.

Thus, LCM of Fractions is 93632.Finally, LCM of Fractions for 64/211, 266/360, 352/426 is 93632.