Least Common Multiple of 811/135, 691/585, 316/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 811/135, 691/585, 316/377 quickly i.e. 177086716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 811/135, 691/585, 316/377 is 177086716.

LCM(811/135, 691/585, 316/377) = 177086716

LCM of 811/135, 691/585, 316/377

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 811/135,691/585,316/377

Given numbers are 811/135,691/585,316/377

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 811,691,316

Least Common Multiple of Numerators i.e. LCM of 811,691,316 is 177086716.

GCF of Denominators means GCF of 135,585,377 as per the given fractions.

GCF of 135,585,377 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 811,691,316

LCM of Fractions 811/135,691/585,316/377 is 177086716

Given numbers has no common factors except 1. So, there LCM is their product i.e 177086716

Least Common Multiple of 811,691,316 with GCF Formula

Least Common Multiple of 811,691,316 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 811,691,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(811,691,316) = 1

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

GCF(811,691,316) x common factors =1 x 1 = 1

LCM(811,691,316) = ( 811 × 691 × 316 ) / 1

LCM(811,691,316) = 177086716 / 1

LCM(811,691,316) = 177086716


Lets's calculate GCF of 135,585,377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177086716/1

Therefore the LCM of Fractions 811/135,691/585,316/377 is 177086716

Greatest Common Factor of 135,585,377 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,585,377 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Greatest Common Factor

We found the factors 135,585,377 . The biggest common factor number is the GCF number.
So the greatest common factor 135,585,377 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 811/135, 691/585, 316/377

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 811/135, 691/585, 316/377?

Answer: LCM of Numerators as per given numbers 811/135, 691/585, 316/377 is

LCM of Numerators i.e. for 811,691,316 is 177086716

GCF of denominators i.e. for 135,585,377 is 1.

Thus, LCM of Fractions is 177086716.Finally, LCM of Fractions for 811/135, 691/585, 316/377 is 177086716.