Least Common Multiple of 77/43, 27/46, 79/17, 87/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/43, 27/46, 79/17, 87/429 quickly i.e. 4762989 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/43, 27/46, 79/17, 87/429 is 4762989.

LCM(77/43, 27/46, 79/17, 87/429) = 4762989

LCM of 77/43, 27/46, 79/17, 87/429

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 77/43,27/46,79/17,87/429

Given numbers are 77/43,27/46,79/17,87/429

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 77,27,79,87

Least Common Multiple of Numerators i.e. LCM of 77,27,79,87 is 4762989.

GCF of Denominators means GCF of 43,46,17,429 as per the given fractions.

GCF of 43,46,17,429 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,27,79,87

LCM of Fractions 77/43,27/46,79/17,87/429 is 4762989

3 77, 27, 79, 87
77, 9, 79, 29

∴ So the LCM of the given numbers is 3 x 77 x 9 x 79 x 29 = 4762989

Least Common Multiple of 77,27,79,87 with GCF Formula

Least Common Multiple of 77,27,79,87 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 77,27,79,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,27,79,87) = 1

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

GCF(77,27,79,87) x common factors =1 x 3 = 3

LCM(77,27,79,87) = ( 77 × 27 × 79 × 87 ) / 3

LCM(77,27,79,87) = 14288967 / 3

LCM(77,27,79,87) = 4762989


Lets's calculate GCF of 43,46,17,429

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4762989/1

Therefore the LCM of Fractions 77/43,27/46,79/17,87/429 is 4762989

Greatest Common Factor of 43,46,17,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,46,17,429 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

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 43,46,17,429 . The biggest common factor number is the GCF number.
So the greatest common factor 43,46,17,429 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 77/43, 27/46, 79/17, 87/429

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 77/43, 27/46, 79/17, 87/429?

Answer: LCM of Numerators as per given numbers 77/43, 27/46, 79/17, 87/429 is

LCM of Numerators i.e. for 77,27,79,87 is 4762989

GCF of denominators i.e. for 43,46,17,429 is 1.

Thus, LCM of Fractions is 4762989.Finally, LCM of Fractions for 77/43, 27/46, 79/17, 87/429 is 4762989.