Least Common Multiple of 852/76, 209/24, 748/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/76, 209/24, 748/789 quickly i.e. 3027156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/76, 209/24, 748/789 is 3027156.

LCM(852/76, 209/24, 748/789) = 3027156

LCM of 852/76, 209/24, 748/789

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 852/76,209/24,748/789

Given numbers are 852/76,209/24,748/789

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 852,209,748

Least Common Multiple of Numerators i.e. LCM of 852,209,748 is 3027156.

GCF of Denominators means GCF of 76,24,789 as per the given fractions.

GCF of 76,24,789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,209,748

LCM of Fractions 852/76,209/24,748/789 is 3027156

2 852, 209, 748
2 426, 209, 374
11 213, 209, 187
213, 19, 17

∴ So the LCM of the given numbers is 2 x 2 x 11 x 213 x 19 x 17 = 3027156

Least Common Multiple of 852,209,748 with GCF Formula

Least Common Multiple of 852,209,748 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 852,209,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,209,748) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(852,209,748) x common factors =1 x 44 = 44

LCM(852,209,748) = ( 852 × 209 × 748 ) / 44

LCM(852,209,748) = 133194864 / 44

LCM(852,209,748) = 3027156


Lets's calculate GCF of 76,24,789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3027156/1

Therefore the LCM of Fractions 852/76,209/24,748/789 is 3027156

Greatest Common Factor of 76,24,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,24,789 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

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 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 76,24,789 . The biggest common factor number is the GCF number.
So the greatest common factor 76,24,789 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 852/76, 209/24, 748/789

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 852/76, 209/24, 748/789?

Answer: LCM of Numerators as per given numbers 852/76, 209/24, 748/789 is

LCM of Numerators i.e. for 852,209,748 is 3027156

GCF of denominators i.e. for 76,24,789 is 1.

Thus, LCM of Fractions is 3027156.Finally, LCM of Fractions for 852/76, 209/24, 748/789 is 3027156.