Least Common Multiple of 766/273, 112/722, 100/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 766/273, 112/722, 100/432 quickly i.e. 1072400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/273, 112/722, 100/432 is 1072400.

LCM(766/273, 112/722, 100/432) = 1072400

LCM of 766/273, 112/722, 100/432

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 766/273,112/722,100/432

Given numbers are 766/273,112/722,100/432

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 766,112,100

Least Common Multiple of Numerators i.e. LCM of 766,112,100 is 1072400.

GCF of Denominators means GCF of 273,722,432 as per the given fractions.

GCF of 273,722,432 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,112,100

LCM of Fractions 766/273,112/722,100/432 is 1072400

2 766, 112, 100
2 383, 56, 50
383, 28, 25

∴ So the LCM of the given numbers is 2 x 2 x 383 x 28 x 25 = 1072400

Least Common Multiple of 766,112,100 with GCF Formula

Least Common Multiple of 766,112,100 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 766,112,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,112,100) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(766,112,100) x common factors =2 x 4 = 8

LCM(766,112,100) = ( 766 × 112 × 100 ) / 8

LCM(766,112,100) = 8579200 / 8

LCM(766,112,100) = 1072400


Lets's calculate GCF of 273,722,432

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1072400/1

Therefore the LCM of Fractions 766/273,112/722,100/432 is 1072400

Greatest Common Factor of 273,722,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,722,432 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 273,722,432 . The biggest common factor number is the GCF number.
So the greatest common factor 273,722,432 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 766/273, 112/722, 100/432

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 766/273, 112/722, 100/432?

Answer: LCM of Numerators as per given numbers 766/273, 112/722, 100/432 is

LCM of Numerators i.e. for 766,112,100 is 1072400

GCF of denominators i.e. for 273,722,432 is 1.

Thus, LCM of Fractions is 1072400.Finally, LCM of Fractions for 766/273, 112/722, 100/432 is 1072400.