Least Common Multiple of 72/411, 53/478, 691/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 72/411, 53/478, 691/764 quickly i.e. 2636856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/411, 53/478, 691/764 is 2636856.

LCM(72/411, 53/478, 691/764) = 2636856

LCM of 72/411, 53/478, 691/764

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 72/411,53/478,691/764

Given numbers are 72/411,53/478,691/764

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 72,53,691

Least Common Multiple of Numerators i.e. LCM of 72,53,691 is 2636856.

GCF of Denominators means GCF of 411,478,764 as per the given fractions.

GCF of 411,478,764 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,53,691

LCM of Fractions 72/411,53/478,691/764 is 2636856

Given numbers has no common factors except 1. So, there LCM is their product i.e 2636856

Least Common Multiple of 72,53,691 with GCF Formula

Least Common Multiple of 72,53,691 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 72,53,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,53,691) = 1

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

GCF(72,53,691) x common factors =1 x 1 = 1

LCM(72,53,691) = ( 72 × 53 × 691 ) / 1

LCM(72,53,691) = 2636856 / 1

LCM(72,53,691) = 2636856


Lets's calculate GCF of 411,478,764

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2636856/1

Therefore the LCM of Fractions 72/411,53/478,691/764 is 2636856

Greatest Common Factor of 411,478,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,478,764 By Matching Biggest Common Factor Method

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 411,478,764 . The biggest common factor number is the GCF number.
So the greatest common factor 411,478,764 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 72/411, 53/478, 691/764

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 72/411, 53/478, 691/764?

Answer: LCM of Numerators as per given numbers 72/411, 53/478, 691/764 is

LCM of Numerators i.e. for 72,53,691 is 2636856

GCF of denominators i.e. for 411,478,764 is 1.

Thus, LCM of Fractions is 2636856.Finally, LCM of Fractions for 72/411, 53/478, 691/764 is 2636856.