Least Common Multiple of 22/528, 151/136, 297/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/528, 151/136, 297/429 quickly i.e. 89694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/528, 151/136, 297/429 is 89694.

LCM(22/528, 151/136, 297/429) = 89694

LCM of 22/528, 151/136, 297/429

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 22/528,151/136,297/429

Given numbers are 22/528,151/136,297/429

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 22,151,297

Least Common Multiple of Numerators i.e. LCM of 22,151,297 is 89694.

GCF of Denominators means GCF of 528,136,429 as per the given fractions.

GCF of 528,136,429 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,151,297

LCM of Fractions 22/528,151/136,297/429 is 89694

11 22, 151, 297
2, 151, 27

∴ So the LCM of the given numbers is 11 x 2 x 151 x 27 = 89694

Least Common Multiple of 22,151,297 with GCF Formula

Least Common Multiple of 22,151,297 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 22,151,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,151,297) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(22,151,297) x common factors =1 x 11 = 11

LCM(22,151,297) = ( 22 × 151 × 297 ) / 11

LCM(22,151,297) = 986634 / 11

LCM(22,151,297) = 89694


Lets's calculate GCF of 528,136,429

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89694/1

Therefore the LCM of Fractions 22/528,151/136,297/429 is 89694

Greatest Common Factor of 528,136,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,136,429 By Matching Biggest Common Factor Method

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 528,136,429 . The biggest common factor number is the GCF number.
So the greatest common factor 528,136,429 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 22/528, 151/136, 297/429

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 22/528, 151/136, 297/429?

Answer: LCM of Numerators as per given numbers 22/528, 151/136, 297/429 is

LCM of Numerators i.e. for 22,151,297 is 89694

GCF of denominators i.e. for 528,136,429 is 1.

Thus, LCM of Fractions is 89694.Finally, LCM of Fractions for 22/528, 151/136, 297/429 is 89694.