Least Common Multiple of 21/765, 2132/4500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/765, 2132/4500 quickly i.e. 44772/45 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/765, 2132/4500 is 44772/45.

LCM(21/765, 2132/4500) = 44772/45

LCM of 21/765, 2132/4500

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 21/765,2132/4500

Given numbers are 21/765,2132/4500

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 21,2132

Least Common Multiple of Numerators i.e. LCM of 21,2132 is 44772.

GCF of Denominators means GCF of 765,4500 as per the given fractions.

GCF of 765,4500 is 45 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,2132

LCM of Fractions 21/765,2132/4500 is 44772/45

Given numbers has no common factors except 1. So, there LCM is their product i.e 44772

Least Common Multiple of 21,2132 with GCF Formula

Least Common Multiple of 21,2132 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 21,2132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,2132) = 1

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

GCF(21,2132) x common factors =1 x 1 = 1

LCM(21,2132) = ( 21 × 2132 ) / 1

LCM(21,2132) = 44772 / 1

LCM(21,2132) = 44772


Lets's calculate GCF of 765,4500

3 765, 4500
3 255, 1500
5 85, 500
17, 100

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44772/45

Therefore the LCM of Fractions 21/765,2132/4500 is 44772/45

Greatest Common Factor of 765,4500 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,4500 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 4500

List of positive integer factors of 4500 that divides 4500 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,125,150,180,225,250,300,375,450,500,750,900,1125,1500,2250,4500

Greatest Common Factor

We found the factors 765,4500 . The biggest common factor number is the GCF number.
So the greatest common factor 765,4500 is 45.


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 21/765, 2132/4500

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 21/765, 2132/4500?

Answer: LCM of Numerators as per given numbers 21/765, 2132/4500 is

LCM of Numerators i.e. for 21,2132 is 44772

GCF of denominators i.e. for 765,4500 is 45.

Thus, LCM of Fractions is 44772/45.Finally, LCM of Fractions for 21/765, 2132/4500 is 44772/45.