Least Common Multiple of 874/971, 2271/5511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 874/971, 2271/5511 quickly i.e. 1984854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 874/971, 2271/5511 is 1984854.

LCM(874/971, 2271/5511) = 1984854

LCM of 874/971, 2271/5511

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 874/971,2271/5511

Given numbers are 874/971,2271/5511

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 874,2271

Least Common Multiple of Numerators i.e. LCM of 874,2271 is 1984854.

GCF of Denominators means GCF of 971,5511 as per the given fractions.

GCF of 971,5511 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 874,2271

LCM of Fractions 874/971,2271/5511 is 1984854

Given numbers has no common factors except 1. So, there LCM is their product i.e 1984854

Least Common Multiple of 874,2271 with GCF Formula

Least Common Multiple of 874,2271 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 874,2271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,2271) = 1

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

GCF(874,2271) x common factors =1 x 1 = 1

LCM(874,2271) = ( 874 × 2271 ) / 1

LCM(874,2271) = 1984854 / 1

LCM(874,2271) = 1984854


Lets's calculate GCF of 971,5511

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1984854/1

Therefore the LCM of Fractions 874/971,2271/5511 is 1984854

Greatest Common Factor of 971,5511 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,5511 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 5511

List of positive integer factors of 5511 that divides 5511 without a remainder.

1,3,11,33,167,501,1837,5511

Greatest Common Factor

We found the factors 971,5511 . The biggest common factor number is the GCF number.
So the greatest common factor 971,5511 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 874/971, 2271/5511

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 874/971, 2271/5511?

Answer: LCM of Numerators as per given numbers 874/971, 2271/5511 is

LCM of Numerators i.e. for 874,2271 is 1984854

GCF of denominators i.e. for 971,5511 is 1.

Thus, LCM of Fractions is 1984854.Finally, LCM of Fractions for 874/971, 2271/5511 is 1984854.