Least Common Multiple of 22/352, 24/536, 229/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/352, 24/536, 229/555 quickly i.e. 60456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/352, 24/536, 229/555 is 60456.

LCM(22/352, 24/536, 229/555) = 60456

LCM of 22/352, 24/536, 229/555

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 22/352,24/536,229/555

Given numbers are 22/352,24/536,229/555

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 22,24,229

Least Common Multiple of Numerators i.e. LCM of 22,24,229 is 60456.

GCF of Denominators means GCF of 352,536,555 as per the given fractions.

GCF of 352,536,555 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,24,229

LCM of Fractions 22/352,24/536,229/555 is 60456

2 22, 24, 229
11, 12, 229

∴ So the LCM of the given numbers is 2 x 11 x 12 x 229 = 60456

Least Common Multiple of 22,24,229 with GCF Formula

Least Common Multiple of 22,24,229 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 22,24,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,24,229) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(22,24,229) x common factors =1 x 2 = 2

LCM(22,24,229) = ( 22 × 24 × 229 ) / 2

LCM(22,24,229) = 120912 / 2

LCM(22,24,229) = 60456


Lets's calculate GCF of 352,536,555

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60456/1

Therefore the LCM of Fractions 22/352,24/536,229/555 is 60456

Greatest Common Factor of 352,536,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,536,555 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 352,536,555 . The biggest common factor number is the GCF number.
So the greatest common factor 352,536,555 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 22/352, 24/536, 229/555

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 22/352, 24/536, 229/555?

Answer: LCM of Numerators as per given numbers 22/352, 24/536, 229/555 is

LCM of Numerators i.e. for 22,24,229 is 60456

GCF of denominators i.e. for 352,536,555 is 1.

Thus, LCM of Fractions is 60456.Finally, LCM of Fractions for 22/352, 24/536, 229/555 is 60456.