Least Common Multiple of 24/852, 2991/2247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/852, 2991/2247 quickly i.e. 7976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/852, 2991/2247 is 7976.

LCM(24/852, 2991/2247) = 7976

LCM of 24/852, 2991/2247

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 24/852,2991/2247

Given numbers are 24/852,2991/2247

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 24,2991

Least Common Multiple of Numerators i.e. LCM of 24,2991 is 23928.

GCF of Denominators means GCF of 852,2247 as per the given fractions.

GCF of 852,2247 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,2991

LCM of Fractions 24/852,2991/2247 is 7976

3 24, 2991
8, 997

∴ So the LCM of the given numbers is 3 x 8 x 997 = 23928

Least Common Multiple of 24,2991 with GCF Formula

Least Common Multiple of 24,2991 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 24,2991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,2991) = 3

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

GCF(24,2991) x common factors =3 x 1 = 3

LCM(24,2991) = ( 24 × 2991 ) / 3

LCM(24,2991) = 71784 / 3

LCM(24,2991) = 23928


Lets's calculate GCF of 852,2247

3 852, 2247
284, 749

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23928/3

Therefore the LCM of Fractions 24/852,2991/2247 is 7976

Greatest Common Factor of 852,2247 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,2247 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 2247

List of positive integer factors of 2247 that divides 2247 without a remainder.

1,3,7,21,107,321,749,2247

Greatest Common Factor

We found the factors 852,2247 . The biggest common factor number is the GCF number.
So the greatest common factor 852,2247 is 3.


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 24/852, 2991/2247

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 24/852, 2991/2247?

Answer: LCM of Numerators as per given numbers 24/852, 2991/2247 is

LCM of Numerators i.e. for 24,2991 is 23928

GCF of denominators i.e. for 852,2247 is 3.

Thus, LCM of Fractions is 7976.Finally, LCM of Fractions for 24/852, 2991/2247 is 7976.