Least Common Multiple of 862/24, 271/78, 252/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 862/24, 271/78, 252/661 quickly i.e. 29433852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 862/24, 271/78, 252/661 is 29433852.

LCM(862/24, 271/78, 252/661) = 29433852

LCM of 862/24, 271/78, 252/661

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 862/24,271/78,252/661

Given numbers are 862/24,271/78,252/661

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 862,271,252

Least Common Multiple of Numerators i.e. LCM of 862,271,252 is 29433852.

GCF of Denominators means GCF of 24,78,661 as per the given fractions.

GCF of 24,78,661 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 862,271,252

LCM of Fractions 862/24,271/78,252/661 is 29433852

2 862, 271, 252
431, 271, 126

∴ So the LCM of the given numbers is 2 x 431 x 271 x 126 = 29433852

Least Common Multiple of 862,271,252 with GCF Formula

Least Common Multiple of 862,271,252 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 862,271,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,271,252) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(862,271,252) x common factors =1 x 2 = 2

LCM(862,271,252) = ( 862 × 271 × 252 ) / 2

LCM(862,271,252) = 58867704 / 2

LCM(862,271,252) = 29433852


Lets's calculate GCF of 24,78,661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29433852/1

Therefore the LCM of Fractions 862/24,271/78,252/661 is 29433852

Greatest Common Factor of 24,78,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,78,661 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 24,78,661 . The biggest common factor number is the GCF number.
So the greatest common factor 24,78,661 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 862/24, 271/78, 252/661

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 862/24, 271/78, 252/661?

Answer: LCM of Numerators as per given numbers 862/24, 271/78, 252/661 is

LCM of Numerators i.e. for 862,271,252 is 29433852

GCF of denominators i.e. for 24,78,661 is 1.

Thus, LCM of Fractions is 29433852.Finally, LCM of Fractions for 862/24, 271/78, 252/661 is 29433852.