Least Common Multiple of 722/44, 642/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 722/44, 642/108 quickly i.e. 231762/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 722/44, 642/108 is 231762/4.

LCM(722/44, 642/108) = 231762/4

LCM of 722/44, 642/108

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 722/44,642/108

Given numbers are 722/44,642/108

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 722,642

Least Common Multiple of Numerators i.e. LCM of 722,642 is 231762.

GCF of Denominators means GCF of 44,108 as per the given fractions.

GCF of 44,108 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 722,642

LCM of Fractions 722/44,642/108 is 231762/4

2 722, 642
361, 321

∴ So the LCM of the given numbers is 2 x 361 x 321 = 231762

Least Common Multiple of 722,642 with GCF Formula

Least Common Multiple of 722,642 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 722,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,642) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(722,642) x common factors =2 x 1 = 2

LCM(722,642) = ( 722 × 642 ) / 2

LCM(722,642) = 463524 / 2

LCM(722,642) = 231762


Lets's calculate GCF of 44,108

2 44, 108
2 22, 54
11, 27

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231762/4

Therefore the LCM of Fractions 722/44,642/108 is 231762/4

Greatest Common Factor of 44,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,108 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 44,108 . The biggest common factor number is the GCF number.
So the greatest common factor 44,108 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 722/44, 642/108

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 722/44, 642/108?

Answer: LCM of Numerators as per given numbers 722/44, 642/108 is

LCM of Numerators i.e. for 722,642 is 231762

GCF of denominators i.e. for 44,108 is 4.

Thus, LCM of Fractions is 231762/4.Finally, LCM of Fractions for 722/44, 642/108 is 231762/4.