Least Common Multiple of 7176/974, 1797/8002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7176/974, 1797/8002 quickly i.e. 2149212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7176/974, 1797/8002 is 2149212.

LCM(7176/974, 1797/8002) = 2149212

LCM of 7176/974, 1797/8002

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 7176/974,1797/8002

Given numbers are 7176/974,1797/8002

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 7176,1797

Least Common Multiple of Numerators i.e. LCM of 7176,1797 is 4298424.

GCF of Denominators means GCF of 974,8002 as per the given fractions.

GCF of 974,8002 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7176,1797

LCM of Fractions 7176/974,1797/8002 is 2149212

3 7176, 1797
2392, 599

∴ So the LCM of the given numbers is 3 x 2392 x 599 = 4298424

Least Common Multiple of 7176,1797 with GCF Formula

Least Common Multiple of 7176,1797 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 7176,1797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7176,1797) = 3

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

GCF(7176,1797) x common factors =3 x 1 = 3

LCM(7176,1797) = ( 7176 × 1797 ) / 3

LCM(7176,1797) = 12895272 / 3

LCM(7176,1797) = 4298424


Lets's calculate GCF of 974,8002

2 974, 8002
487, 4001

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4298424/2

Therefore the LCM of Fractions 7176/974,1797/8002 is 2149212

Greatest Common Factor of 974,8002 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,8002 By Matching Biggest Common Factor Method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 8002

List of positive integer factors of 8002 that divides 8002 without a remainder.

1,2,4001,8002

Greatest Common Factor

We found the factors 974,8002 . The biggest common factor number is the GCF number.
So the greatest common factor 974,8002 is 2.


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 7176/974, 1797/8002

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 7176/974, 1797/8002?

Answer: LCM of Numerators as per given numbers 7176/974, 1797/8002 is

LCM of Numerators i.e. for 7176,1797 is 4298424

GCF of denominators i.e. for 974,8002 is 2.

Thus, LCM of Fractions is 2149212.Finally, LCM of Fractions for 7176/974, 1797/8002 is 2149212.