Least Common Multiple of 22/338, 680/184, 632/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/338, 680/184, 632/532 quickly i.e. 295460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/338, 680/184, 632/532 is 295460.

LCM(22/338, 680/184, 632/532) = 295460

LCM of 22/338, 680/184, 632/532

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 22/338,680/184,632/532

Given numbers are 22/338,680/184,632/532

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 22,680,632

Least Common Multiple of Numerators i.e. LCM of 22,680,632 is 590920.

GCF of Denominators means GCF of 338,184,532 as per the given fractions.

GCF of 338,184,532 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,680,632

LCM of Fractions 22/338,680/184,632/532 is 295460

2 22, 680, 632
2 11, 340, 316
2 11, 170, 158
11, 85, 79

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 85 x 79 = 590920

Least Common Multiple of 22,680,632 with GCF Formula

Least Common Multiple of 22,680,632 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 22,680,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,680,632) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(22,680,632) x common factors =2 x 8 = 16

LCM(22,680,632) = ( 22 × 680 × 632 ) / 16

LCM(22,680,632) = 9454720 / 16

LCM(22,680,632) = 590920


Lets's calculate GCF of 338,184,532

2 338, 184, 532
169, 92, 266

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 590920/2

Therefore the LCM of Fractions 22/338,680/184,632/532 is 295460

Greatest Common Factor of 338,184,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,184,532 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 338,184,532 . The biggest common factor number is the GCF number.
So the greatest common factor 338,184,532 is 2.


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 22/338, 680/184, 632/532

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 22/338, 680/184, 632/532?

Answer: LCM of Numerators as per given numbers 22/338, 680/184, 632/532 is

LCM of Numerators i.e. for 22,680,632 is 590920

GCF of denominators i.e. for 338,184,532 is 2.

Thus, LCM of Fractions is 295460.Finally, LCM of Fractions for 22/338, 680/184, 632/532 is 295460.