Least Common Multiple of 852/900, 3627/2129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/900, 3627/2129 quickly i.e. 1030068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/900, 3627/2129 is 1030068.

LCM(852/900, 3627/2129) = 1030068

LCM of 852/900, 3627/2129

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 852/900,3627/2129

Given numbers are 852/900,3627/2129

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 852,3627

Least Common Multiple of Numerators i.e. LCM of 852,3627 is 1030068.

GCF of Denominators means GCF of 900,2129 as per the given fractions.

GCF of 900,2129 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,3627

LCM of Fractions 852/900,3627/2129 is 1030068

3 852, 3627
284, 1209

∴ So the LCM of the given numbers is 3 x 284 x 1209 = 1030068

Least Common Multiple of 852,3627 with GCF Formula

Least Common Multiple of 852,3627 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 852,3627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,3627) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(852,3627) x common factors =3 x 1 = 3

LCM(852,3627) = ( 852 × 3627 ) / 3

LCM(852,3627) = 3090204 / 3

LCM(852,3627) = 1030068


Lets's calculate GCF of 900,2129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1030068/1

Therefore the LCM of Fractions 852/900,3627/2129 is 1030068

Greatest Common Factor of 900,2129 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,2129 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 2129

List of positive integer factors of 2129 that divides 2129 without a remainder.

1,2129

Greatest Common Factor

We found the factors 900,2129 . The biggest common factor number is the GCF number.
So the greatest common factor 900,2129 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 852/900, 3627/2129

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 852/900, 3627/2129?

Answer: LCM of Numerators as per given numbers 852/900, 3627/2129 is

LCM of Numerators i.e. for 852,3627 is 1030068

GCF of denominators i.e. for 900,2129 is 1.

Thus, LCM of Fractions is 1030068.Finally, LCM of Fractions for 852/900, 3627/2129 is 1030068.