Least Common Multiple of 42/291, 84/123, 686/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/291, 84/123, 686/806 quickly i.e. 4116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/291, 84/123, 686/806 is 4116.

LCM(42/291, 84/123, 686/806) = 4116

LCM of 42/291, 84/123, 686/806

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 42/291,84/123,686/806

Given numbers are 42/291,84/123,686/806

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 42,84,686

Least Common Multiple of Numerators i.e. LCM of 42,84,686 is 4116.

GCF of Denominators means GCF of 291,123,806 as per the given fractions.

GCF of 291,123,806 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,84,686

LCM of Fractions 42/291,84/123,686/806 is 4116

2 42, 84, 686
3 21, 42, 343
7 7, 14, 343
1, 2, 49

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 2 x 49 = 4116

Least Common Multiple of 42,84,686 with GCF Formula

Least Common Multiple of 42,84,686 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 42,84,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,84,686) = 14

common factors(in case of two or more numbers have common factors) = 42

GCF(42,84,686) x common factors =14 x 42 = 588

LCM(42,84,686) = ( 42 × 84 × 686 ) / 588

LCM(42,84,686) = 2420208 / 588

LCM(42,84,686) = 4116


Lets's calculate GCF of 291,123,806

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4116/1

Therefore the LCM of Fractions 42/291,84/123,686/806 is 4116

Greatest Common Factor of 291,123,806 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,123,806 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Greatest Common Factor

We found the factors 291,123,806 . The biggest common factor number is the GCF number.
So the greatest common factor 291,123,806 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 42/291, 84/123, 686/806

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 42/291, 84/123, 686/806?

Answer: LCM of Numerators as per given numbers 42/291, 84/123, 686/806 is

LCM of Numerators i.e. for 42,84,686 is 4116

GCF of denominators i.e. for 291,123,806 is 1.

Thus, LCM of Fractions is 4116.Finally, LCM of Fractions for 42/291, 84/123, 686/806 is 4116.