Least Common Multiple of 9715/474, 8968/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9715/474, 8968/316 quickly i.e. 87124120/158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9715/474, 8968/316 is 87124120/158.

LCM(9715/474, 8968/316) = 87124120/158

LCM of 9715/474, 8968/316

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 9715/474,8968/316

Given numbers are 9715/474,8968/316

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 9715,8968

Least Common Multiple of Numerators i.e. LCM of 9715,8968 is 87124120.

GCF of Denominators means GCF of 474,316 as per the given fractions.

GCF of 474,316 is 158 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9715,8968

LCM of Fractions 9715/474,8968/316 is 87124120/158

Given numbers has no common factors except 1. So, there LCM is their product i.e 87124120

Least Common Multiple of 9715,8968 with GCF Formula

Least Common Multiple of 9715,8968 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 9715,8968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9715,8968) = 1

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

GCF(9715,8968) x common factors =1 x 1 = 1

LCM(9715,8968) = ( 9715 × 8968 ) / 1

LCM(9715,8968) = 87124120 / 1

LCM(9715,8968) = 87124120


Lets's calculate GCF of 474,316

2 474, 316
79 237, 158
3, 2

∴ So the GCF of the given numbers is 2 x 79 = 158

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87124120/158

Therefore the LCM of Fractions 9715/474,8968/316 is 87124120/158

Greatest Common Factor of 474,316 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,316 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Greatest Common Factor

We found the factors 474,316 . The biggest common factor number is the GCF number.
So the greatest common factor 474,316 is 158.


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 9715/474, 8968/316

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 9715/474, 8968/316?

Answer: LCM of Numerators as per given numbers 9715/474, 8968/316 is

LCM of Numerators i.e. for 9715,8968 is 87124120

GCF of denominators i.e. for 474,316 is 158.

Thus, LCM of Fractions is 87124120/158.Finally, LCM of Fractions for 9715/474, 8968/316 is 87124120/158.