Least Common Multiple of 1008/744, 6974/8611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1008/744, 6974/8611 quickly i.e. 3514896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1008/744, 6974/8611 is 3514896.

LCM(1008/744, 6974/8611) = 3514896

LCM of 1008/744, 6974/8611

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 1008/744,6974/8611

Given numbers are 1008/744,6974/8611

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 1008,6974

Least Common Multiple of Numerators i.e. LCM of 1008,6974 is 3514896.

GCF of Denominators means GCF of 744,8611 as per the given fractions.

GCF of 744,8611 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1008,6974

LCM of Fractions 1008/744,6974/8611 is 3514896

2 1008, 6974
504, 3487

∴ So the LCM of the given numbers is 2 x 504 x 3487 = 3514896

Least Common Multiple of 1008,6974 with GCF Formula

Least Common Multiple of 1008,6974 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 1008,6974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1008,6974) = 2

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

GCF(1008,6974) x common factors =2 x 1 = 2

LCM(1008,6974) = ( 1008 × 6974 ) / 2

LCM(1008,6974) = 7029792 / 2

LCM(1008,6974) = 3514896


Lets's calculate GCF of 744,8611

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3514896/1

Therefore the LCM of Fractions 1008/744,6974/8611 is 3514896

Greatest Common Factor of 744,8611 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,8611 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 8611

List of positive integer factors of 8611 that divides 8611 without a remainder.

1,79,109,8611

Greatest Common Factor

We found the factors 744,8611 . The biggest common factor number is the GCF number.
So the greatest common factor 744,8611 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 1008/744, 6974/8611

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 1008/744, 6974/8611?

Answer: LCM of Numerators as per given numbers 1008/744, 6974/8611 is

LCM of Numerators i.e. for 1008,6974 is 3514896

GCF of denominators i.e. for 744,8611 is 1.

Thus, LCM of Fractions is 3514896.Finally, LCM of Fractions for 1008/744, 6974/8611 is 3514896.