Least Common Multiple of 85/869, 76/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/869, 76/429 quickly i.e. 6460/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/869, 76/429 is 6460/11.

LCM(85/869, 76/429) = 6460/11

LCM of 85/869, 76/429

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 85/869,76/429

Given numbers are 85/869,76/429

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 85,76

Least Common Multiple of Numerators i.e. LCM of 85,76 is 6460.

GCF of Denominators means GCF of 869,429 as per the given fractions.

GCF of 869,429 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,76

LCM of Fractions 85/869,76/429 is 6460/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 6460

Least Common Multiple of 85,76 with GCF Formula

Least Common Multiple of 85,76 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 85,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,76) = 1

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

GCF(85,76) x common factors =1 x 1 = 1

LCM(85,76) = ( 85 × 76 ) / 1

LCM(85,76) = 6460 / 1

LCM(85,76) = 6460


Lets's calculate GCF of 869,429

11 869, 429
79, 39

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6460/11

Therefore the LCM of Fractions 85/869,76/429 is 6460/11

Greatest Common Factor of 869,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,429 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 869,429 . The biggest common factor number is the GCF number.
So the greatest common factor 869,429 is 11.


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 85/869, 76/429

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 85/869, 76/429?

Answer: LCM of Numerators as per given numbers 85/869, 76/429 is

LCM of Numerators i.e. for 85,76 is 6460

GCF of denominators i.e. for 869,429 is 11.

Thus, LCM of Fractions is 6460/11.Finally, LCM of Fractions for 85/869, 76/429 is 6460/11.