Least Common Multiple of 650/72, 605/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 650/72, 605/644 quickly i.e. 78650/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 650/72, 605/644 is 78650/4.

LCM(650/72, 605/644) = 78650/4

LCM of 650/72, 605/644

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 650/72,605/644

Given numbers are 650/72,605/644

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 650,605

Least Common Multiple of Numerators i.e. LCM of 650,605 is 78650.

GCF of Denominators means GCF of 72,644 as per the given fractions.

GCF of 72,644 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 650,605

LCM of Fractions 650/72,605/644 is 78650/4

5 650, 605
130, 121

∴ So the LCM of the given numbers is 5 x 130 x 121 = 78650

Least Common Multiple of 650,605 with GCF Formula

Least Common Multiple of 650,605 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 650,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,605) = 5

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

GCF(650,605) x common factors =5 x 1 = 5

LCM(650,605) = ( 650 × 605 ) / 5

LCM(650,605) = 393250 / 5

LCM(650,605) = 78650


Lets's calculate GCF of 72,644

2 72, 644
2 36, 322
18, 161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78650/4

Therefore the LCM of Fractions 650/72,605/644 is 78650/4

Greatest Common Factor of 72,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,644 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 72,644 . The biggest common factor number is the GCF number.
So the greatest common factor 72,644 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 650/72, 605/644

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 650/72, 605/644?

Answer: LCM of Numerators as per given numbers 650/72, 605/644 is

LCM of Numerators i.e. for 650,605 is 78650

GCF of denominators i.e. for 72,644 is 4.

Thus, LCM of Fractions is 78650/4.Finally, LCM of Fractions for 650/72, 605/644 is 78650/4.