Least Common Multiple of 315/971, 5551/5665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 315/971, 5551/5665 quickly i.e. 249795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/971, 5551/5665 is 249795.

LCM(315/971, 5551/5665) = 249795

LCM of 315/971, 5551/5665

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 315/971,5551/5665

Given numbers are 315/971,5551/5665

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 315,5551

Least Common Multiple of Numerators i.e. LCM of 315,5551 is 249795.

GCF of Denominators means GCF of 971,5665 as per the given fractions.

GCF of 971,5665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,5551

LCM of Fractions 315/971,5551/5665 is 249795

7 315, 5551
45, 793

∴ So the LCM of the given numbers is 7 x 45 x 793 = 249795

Least Common Multiple of 315,5551 with GCF Formula

Least Common Multiple of 315,5551 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 315,5551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,5551) = 7

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

GCF(315,5551) x common factors =7 x 1 = 7

LCM(315,5551) = ( 315 × 5551 ) / 7

LCM(315,5551) = 1748565 / 7

LCM(315,5551) = 249795


Lets's calculate GCF of 971,5665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249795/1

Therefore the LCM of Fractions 315/971,5551/5665 is 249795

Greatest Common Factor of 971,5665 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,5665 By Matching Biggest Common Factor Method

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 5665

List of positive integer factors of 5665 that divides 5665 without a remainder.

1,5,11,55,103,515,1133,5665

Greatest Common Factor

We found the factors 971,5665 . The biggest common factor number is the GCF number.
So the greatest common factor 971,5665 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 315/971, 5551/5665

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 315/971, 5551/5665?

Answer: LCM of Numerators as per given numbers 315/971, 5551/5665 is

LCM of Numerators i.e. for 315,5551 is 249795

GCF of denominators i.e. for 971,5665 is 1.

Thus, LCM of Fractions is 249795.Finally, LCM of Fractions for 315/971, 5551/5665 is 249795.