Least Common Multiple of 763/35, 953/20, 744/92

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 763/35, 953/20, 744/92 quickly i.e. 540991416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 763/35, 953/20, 744/92 is 540991416.

LCM(763/35, 953/20, 744/92) = 540991416

LCM of 763/35, 953/20, 744/92

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 763/35,953/20,744/92

Given numbers are 763/35,953/20,744/92

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 763,953,744

Least Common Multiple of Numerators i.e. LCM of 763,953,744 is 540991416.

GCF of Denominators means GCF of 35,20,92 as per the given fractions.

GCF of 35,20,92 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 763,953,744

LCM of Fractions 763/35,953/20,744/92 is 540991416

Given numbers has no common factors except 1. So, there LCM is their product i.e 540991416

Least Common Multiple of 763,953,744 with GCF Formula

Least Common Multiple of 763,953,744 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 763,953,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,953,744) = 1

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

GCF(763,953,744) x common factors =1 x 1 = 1

LCM(763,953,744) = ( 763 × 953 × 744 ) / 1

LCM(763,953,744) = 540991416 / 1

LCM(763,953,744) = 540991416


Lets's calculate GCF of 35,20,92

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 540991416/1

Therefore the LCM of Fractions 763/35,953/20,744/92 is 540991416

Greatest Common Factor of 35,20,92 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,20,92 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Greatest Common Factor

We found the factors 35,20,92 . The biggest common factor number is the GCF number.
So the greatest common factor 35,20,92 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 763/35, 953/20, 744/92

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 763/35, 953/20, 744/92?

Answer: LCM of Numerators as per given numbers 763/35, 953/20, 744/92 is

LCM of Numerators i.e. for 763,953,744 is 540991416

GCF of denominators i.e. for 35,20,92 is 1.

Thus, LCM of Fractions is 540991416.Finally, LCM of Fractions for 763/35, 953/20, 744/92 is 540991416.