Least Common Multiple of 965/72, 316/5722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 965/72, 316/5722 quickly i.e. 152470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 965/72, 316/5722 is 152470.

LCM(965/72, 316/5722) = 152470

LCM of 965/72, 316/5722

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 965/72,316/5722

Given numbers are 965/72,316/5722

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 965,316

Least Common Multiple of Numerators i.e. LCM of 965,316 is 304940.

GCF of Denominators means GCF of 72,5722 as per the given fractions.

GCF of 72,5722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 965,316

LCM of Fractions 965/72,316/5722 is 152470

Given numbers has no common factors except 1. So, there LCM is their product i.e 304940

Least Common Multiple of 965,316 with GCF Formula

Least Common Multiple of 965,316 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 965,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(965,316) = 1

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

GCF(965,316) x common factors =1 x 1 = 1

LCM(965,316) = ( 965 × 316 ) / 1

LCM(965,316) = 304940 / 1

LCM(965,316) = 304940


Lets's calculate GCF of 72,5722

2 72, 5722
36, 2861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304940/2

Therefore the LCM of Fractions 965/72,316/5722 is 152470

Greatest Common Factor of 72,5722 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,5722 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 5722

List of positive integer factors of 5722 that divides 5722 without a remainder.

1,2,2861,5722

Greatest Common Factor

We found the factors 72,5722 . The biggest common factor number is the GCF number.
So the greatest common factor 72,5722 is 2.


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Frequently Asked Questions on Fractional LCM of 965/72, 316/5722

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 965/72, 316/5722?

Answer: LCM of Numerators as per given numbers 965/72, 316/5722 is

LCM of Numerators i.e. for 965,316 is 304940

GCF of denominators i.e. for 72,5722 is 2.

Thus, LCM of Fractions is 152470.Finally, LCM of Fractions for 965/72, 316/5722 is 152470.