Least Common Multiple of 29/79, 42/68, 618/87

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/79, 42/68, 618/87 quickly i.e. 125454 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/79, 42/68, 618/87 is 125454.

LCM(29/79, 42/68, 618/87) = 125454

LCM of 29/79, 42/68, 618/87

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 29/79,42/68,618/87

Given numbers are 29/79,42/68,618/87

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 29,42,618

Least Common Multiple of Numerators i.e. LCM of 29,42,618 is 125454.

GCF of Denominators means GCF of 79,68,87 as per the given fractions.

GCF of 79,68,87 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,42,618

LCM of Fractions 29/79,42/68,618/87 is 125454

2 29, 42, 618
3 29, 21, 309
29, 7, 103

∴ So the LCM of the given numbers is 2 x 3 x 29 x 7 x 103 = 125454

Least Common Multiple of 29,42,618 with GCF Formula

Least Common Multiple of 29,42,618 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 29,42,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,42,618) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(29,42,618) x common factors =1 x 6 = 6

LCM(29,42,618) = ( 29 × 42 × 618 ) / 6

LCM(29,42,618) = 752724 / 6

LCM(29,42,618) = 125454


Lets's calculate GCF of 79,68,87

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125454/1

Therefore the LCM of Fractions 29/79,42/68,618/87 is 125454

Greatest Common Factor of 79,68,87 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,68,87 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Greatest Common Factor

We found the factors 79,68,87 . The biggest common factor number is the GCF number.
So the greatest common factor 79,68,87 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 29/79, 42/68, 618/87

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 29/79, 42/68, 618/87?

Answer: LCM of Numerators as per given numbers 29/79, 42/68, 618/87 is

LCM of Numerators i.e. for 29,42,618 is 125454

GCF of denominators i.e. for 79,68,87 is 1.

Thus, LCM of Fractions is 125454.Finally, LCM of Fractions for 29/79, 42/68, 618/87 is 125454.