Least Common Multiple of 87/296, 8974/1503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/296, 8974/1503 quickly i.e. 780738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/296, 8974/1503 is 780738.

LCM(87/296, 8974/1503) = 780738

LCM of 87/296, 8974/1503

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 87/296,8974/1503

Given numbers are 87/296,8974/1503

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 87,8974

Least Common Multiple of Numerators i.e. LCM of 87,8974 is 780738.

GCF of Denominators means GCF of 296,1503 as per the given fractions.

GCF of 296,1503 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,8974

LCM of Fractions 87/296,8974/1503 is 780738

Given numbers has no common factors except 1. So, there LCM is their product i.e 780738

Least Common Multiple of 87,8974 with GCF Formula

Least Common Multiple of 87,8974 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 87,8974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,8974) = 1

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

GCF(87,8974) x common factors =1 x 1 = 1

LCM(87,8974) = ( 87 × 8974 ) / 1

LCM(87,8974) = 780738 / 1

LCM(87,8974) = 780738


Lets's calculate GCF of 296,1503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 780738/1

Therefore the LCM of Fractions 87/296,8974/1503 is 780738

Greatest Common Factor of 296,1503 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,1503 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 1503

List of positive integer factors of 1503 that divides 1503 without a remainder.

1,3,9,167,501,1503

Greatest Common Factor

We found the factors 296,1503 . The biggest common factor number is the GCF number.
So the greatest common factor 296,1503 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 87/296, 8974/1503

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 87/296, 8974/1503?

Answer: LCM of Numerators as per given numbers 87/296, 8974/1503 is

LCM of Numerators i.e. for 87,8974 is 780738

GCF of denominators i.e. for 296,1503 is 1.

Thus, LCM of Fractions is 780738.Finally, LCM of Fractions for 87/296, 8974/1503 is 780738.