Least Common Multiple of 64/708, 39/871, 797/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/708, 39/871, 797/738 quickly i.e. 1989312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/708, 39/871, 797/738 is 1989312.

LCM(64/708, 39/871, 797/738) = 1989312

LCM of 64/708, 39/871, 797/738

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 64/708,39/871,797/738

Given numbers are 64/708,39/871,797/738

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 64,39,797

Least Common Multiple of Numerators i.e. LCM of 64,39,797 is 1989312.

GCF of Denominators means GCF of 708,871,738 as per the given fractions.

GCF of 708,871,738 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,39,797

LCM of Fractions 64/708,39/871,797/738 is 1989312

Given numbers has no common factors except 1. So, there LCM is their product i.e 1989312

Least Common Multiple of 64,39,797 with GCF Formula

Least Common Multiple of 64,39,797 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 64,39,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,39,797) = 1

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

GCF(64,39,797) x common factors =1 x 1 = 1

LCM(64,39,797) = ( 64 × 39 × 797 ) / 1

LCM(64,39,797) = 1989312 / 1

LCM(64,39,797) = 1989312


Lets's calculate GCF of 708,871,738

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1989312/1

Therefore the LCM of Fractions 64/708,39/871,797/738 is 1989312

Greatest Common Factor of 708,871,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,871,738 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 708,871,738 . The biggest common factor number is the GCF number.
So the greatest common factor 708,871,738 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 64/708, 39/871, 797/738

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 64/708, 39/871, 797/738?

Answer: LCM of Numerators as per given numbers 64/708, 39/871, 797/738 is

LCM of Numerators i.e. for 64,39,797 is 1989312

GCF of denominators i.e. for 708,871,738 is 1.

Thus, LCM of Fractions is 1989312.Finally, LCM of Fractions for 64/708, 39/871, 797/738 is 1989312.