Least Common Multiple of 24/267, 91/649, 778/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/267, 91/649, 778/771 quickly i.e. 849576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/267, 91/649, 778/771 is 849576.

LCM(24/267, 91/649, 778/771) = 849576

LCM of 24/267, 91/649, 778/771

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 24/267,91/649,778/771

Given numbers are 24/267,91/649,778/771

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 24,91,778

Least Common Multiple of Numerators i.e. LCM of 24,91,778 is 849576.

GCF of Denominators means GCF of 267,649,771 as per the given fractions.

GCF of 267,649,771 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,91,778

LCM of Fractions 24/267,91/649,778/771 is 849576

2 24, 91, 778
12, 91, 389

∴ So the LCM of the given numbers is 2 x 12 x 91 x 389 = 849576

Least Common Multiple of 24,91,778 with GCF Formula

Least Common Multiple of 24,91,778 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 24,91,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,91,778) = 1

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

GCF(24,91,778) x common factors =1 x 2 = 2

LCM(24,91,778) = ( 24 × 91 × 778 ) / 2

LCM(24,91,778) = 1699152 / 2

LCM(24,91,778) = 849576


Lets's calculate GCF of 267,649,771

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 849576/1

Therefore the LCM of Fractions 24/267,91/649,778/771 is 849576

Greatest Common Factor of 267,649,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,649,771 By Matching Biggest Common Factor Method

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 267,649,771 . The biggest common factor number is the GCF number.
So the greatest common factor 267,649,771 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 24/267, 91/649, 778/771

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 24/267, 91/649, 778/771?

Answer: LCM of Numerators as per given numbers 24/267, 91/649, 778/771 is

LCM of Numerators i.e. for 24,91,778 is 849576

GCF of denominators i.e. for 267,649,771 is 1.

Thus, LCM of Fractions is 849576.Finally, LCM of Fractions for 24/267, 91/649, 778/771 is 849576.