Least Common Multiple of 900/21, 505/25, 852/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/21, 505/25, 852/132 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 900/21, 505/25, 852/132 is 6453900.

LCM(900/21, 505/25, 852/132) = 6453900

LCM of 900/21, 505/25, 852/132

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 900/21,505/25,852/132

Given numbers are 900/21,505/25,852/132

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 900,505,852

Least Common Multiple of Numerators i.e. LCM of 900,505,852 is 6453900.

GCF of Denominators means GCF of 21,25,132 as per the given fractions.

GCF of 21,25,132 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,505,852

LCM of Fractions 900/21,505/25,852/132 is 6453900

2 900, 505, 852
2 450, 505, 426
3 225, 505, 213
5 75, 505, 71
15, 101, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 15 x 101 x 71 = 6453900

Least Common Multiple of 900,505,852 with GCF Formula

Least Common Multiple of 900,505,852 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 900,505,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,505,852) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(900,505,852) x common factors =1 x 60 = 60

LCM(900,505,852) = ( 900 × 505 × 852 ) / 60

LCM(900,505,852) = 387234000 / 60

LCM(900,505,852) = 6453900


Lets's calculate GCF of 21,25,132

∴ 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 900/21,505/25,852/132 is 6453900

Greatest Common Factor of 21,25,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,25,132 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 21,25,132 . The biggest common factor number is the GCF number.
So the greatest common factor 21,25,132 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 900/21, 505/25, 852/132

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 900/21, 505/25, 852/132?

Answer: LCM of Numerators as per given numbers 900/21, 505/25, 852/132 is

LCM of Numerators i.e. for 900,505,852 is 6453900

GCF of denominators i.e. for 21,25,132 is 1.

Thus, LCM of Fractions is 6453900.Finally, LCM of Fractions for 900/21, 505/25, 852/132 is 6453900.