Least Common Multiple of 7239/64, 3381/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7239/64, 3381/967 quickly i.e. 8158353 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7239/64, 3381/967 is 8158353.

LCM(7239/64, 3381/967) = 8158353

LCM of 7239/64, 3381/967

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 7239/64,3381/967

Given numbers are 7239/64,3381/967

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 7239,3381

Least Common Multiple of Numerators i.e. LCM of 7239,3381 is 8158353.

GCF of Denominators means GCF of 64,967 as per the given fractions.

GCF of 64,967 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7239,3381

LCM of Fractions 7239/64,3381/967 is 8158353

3 7239, 3381
2413, 1127

∴ So the LCM of the given numbers is 3 x 2413 x 1127 = 8158353

Least Common Multiple of 7239,3381 with GCF Formula

Least Common Multiple of 7239,3381 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 7239,3381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7239,3381) = 3

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

GCF(7239,3381) x common factors =3 x 1 = 3

LCM(7239,3381) = ( 7239 × 3381 ) / 3

LCM(7239,3381) = 24475059 / 3

LCM(7239,3381) = 8158353


Lets's calculate GCF of 64,967

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8158353/1

Therefore the LCM of Fractions 7239/64,3381/967 is 8158353

Greatest Common Factor of 64,967 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,967 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Greatest Common Factor

We found the factors 64,967 . The biggest common factor number is the GCF number.
So the greatest common factor 64,967 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7239/64, 3381/967

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 7239/64, 3381/967?

Answer: LCM of Numerators as per given numbers 7239/64, 3381/967 is

LCM of Numerators i.e. for 7239,3381 is 8158353

GCF of denominators i.e. for 64,967 is 1.

Thus, LCM of Fractions is 8158353.Finally, LCM of Fractions for 7239/64, 3381/967 is 8158353.