Least Common Multiple of 852/108, 900/151, 909/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/108, 900/151, 909/627 quickly i.e. 6453900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/108, 900/151, 909/627 is 6453900.

LCM(852/108, 900/151, 909/627) = 6453900

LCM of 852/108, 900/151, 909/627

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 852/108,900/151,909/627

Given numbers are 852/108,900/151,909/627

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 852,900,909

Least Common Multiple of Numerators i.e. LCM of 852,900,909 is 6453900.

GCF of Denominators means GCF of 108,151,627 as per the given fractions.

GCF of 108,151,627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,900,909

LCM of Fractions 852/108,900/151,909/627 is 6453900

2 852, 900, 909
2 426, 450, 909
3 213, 225, 909
3 71, 75, 303
71, 25, 101

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 71 x 25 x 101 = 6453900

Least Common Multiple of 852,900,909 with GCF Formula

Least Common Multiple of 852,900,909 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 852,900,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,900,909) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(852,900,909) x common factors =3 x 36 = 108

LCM(852,900,909) = ( 852 × 900 × 909 ) / 108

LCM(852,900,909) = 697021200 / 108

LCM(852,900,909) = 6453900


Lets's calculate GCF of 108,151,627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6453900/1

Therefore the LCM of Fractions 852/108,900/151,909/627 is 6453900

Greatest Common Factor of 108,151,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,151,627 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 108,151,627 . The biggest common factor number is the GCF number.
So the greatest common factor 108,151,627 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 852/108, 900/151, 909/627

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 852/108, 900/151, 909/627?

Answer: LCM of Numerators as per given numbers 852/108, 900/151, 909/627 is

LCM of Numerators i.e. for 852,900,909 is 6453900

GCF of denominators i.e. for 108,151,627 is 1.

Thus, LCM of Fractions is 6453900.Finally, LCM of Fractions for 852/108, 900/151, 909/627 is 6453900.