Least Common Multiple of 2765/768, 1132/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2765/768, 1132/100 quickly i.e. 782495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2765/768, 1132/100 is 782495.

LCM(2765/768, 1132/100) = 782495

LCM of 2765/768, 1132/100

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 2765/768,1132/100

Given numbers are 2765/768,1132/100

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 2765,1132

Least Common Multiple of Numerators i.e. LCM of 2765,1132 is 3129980.

GCF of Denominators means GCF of 768,100 as per the given fractions.

GCF of 768,100 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2765,1132

LCM of Fractions 2765/768,1132/100 is 782495

Given numbers has no common factors except 1. So, there LCM is their product i.e 3129980

Least Common Multiple of 2765,1132 with GCF Formula

Least Common Multiple of 2765,1132 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 2765,1132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2765,1132) = 1

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

GCF(2765,1132) x common factors =1 x 1 = 1

LCM(2765,1132) = ( 2765 × 1132 ) / 1

LCM(2765,1132) = 3129980 / 1

LCM(2765,1132) = 3129980


Lets's calculate GCF of 768,100

2 768, 100
2 384, 50
192, 25

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3129980/4

Therefore the LCM of Fractions 2765/768,1132/100 is 782495

Greatest Common Factor of 768,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,100 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 768,100 . The biggest common factor number is the GCF number.
So the greatest common factor 768,100 is 4.


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 2765/768, 1132/100

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 2765/768, 1132/100?

Answer: LCM of Numerators as per given numbers 2765/768, 1132/100 is

LCM of Numerators i.e. for 2765,1132 is 3129980

GCF of denominators i.e. for 768,100 is 4.

Thus, LCM of Fractions is 782495.Finally, LCM of Fractions for 2765/768, 1132/100 is 782495.