Least Common Multiple of 871/85, 759/11, 768/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 871/85, 759/11, 768/565 quickly i.e. 169238784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 871/85, 759/11, 768/565 is 169238784.

LCM(871/85, 759/11, 768/565) = 169238784

LCM of 871/85, 759/11, 768/565

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 871/85,759/11,768/565

Given numbers are 871/85,759/11,768/565

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 871,759,768

Least Common Multiple of Numerators i.e. LCM of 871,759,768 is 169238784.

GCF of Denominators means GCF of 85,11,565 as per the given fractions.

GCF of 85,11,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 871,759,768

LCM of Fractions 871/85,759/11,768/565 is 169238784

3 871, 759, 768
871, 253, 256

∴ So the LCM of the given numbers is 3 x 871 x 253 x 256 = 169238784

Least Common Multiple of 871,759,768 with GCF Formula

Least Common Multiple of 871,759,768 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 871,759,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,759,768) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(871,759,768) x common factors =1 x 3 = 3

LCM(871,759,768) = ( 871 × 759 × 768 ) / 3

LCM(871,759,768) = 507716352 / 3

LCM(871,759,768) = 169238784


Lets's calculate GCF of 85,11,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169238784/1

Therefore the LCM of Fractions 871/85,759/11,768/565 is 169238784

Greatest Common Factor of 85,11,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,11,565 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 85,11,565 . The biggest common factor number is the GCF number.
So the greatest common factor 85,11,565 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 871/85, 759/11, 768/565

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 871/85, 759/11, 768/565?

Answer: LCM of Numerators as per given numbers 871/85, 759/11, 768/565 is

LCM of Numerators i.e. for 871,759,768 is 169238784

GCF of denominators i.e. for 85,11,565 is 1.

Thus, LCM of Fractions is 169238784.Finally, LCM of Fractions for 871/85, 759/11, 768/565 is 169238784.