Least Common Multiple of 286/106, 524/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 286/106, 524/679 quickly i.e. 74932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 286/106, 524/679 is 74932.

LCM(286/106, 524/679) = 74932

LCM of 286/106, 524/679

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 286/106,524/679

Given numbers are 286/106,524/679

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 286,524

Least Common Multiple of Numerators i.e. LCM of 286,524 is 74932.

GCF of Denominators means GCF of 106,679 as per the given fractions.

GCF of 106,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 286,524

LCM of Fractions 286/106,524/679 is 74932

2 286, 524
143, 262

∴ So the LCM of the given numbers is 2 x 143 x 262 = 74932

Least Common Multiple of 286,524 with GCF Formula

Least Common Multiple of 286,524 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 286,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,524) = 2

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

GCF(286,524) x common factors =2 x 1 = 2

LCM(286,524) = ( 286 × 524 ) / 2

LCM(286,524) = 149864 / 2

LCM(286,524) = 74932


Lets's calculate GCF of 106,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74932/1

Therefore the LCM of Fractions 286/106,524/679 is 74932

Greatest Common Factor of 106,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,679 By Matching Biggest Common Factor Method

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 106,679 . The biggest common factor number is the GCF number.
So the greatest common factor 106,679 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 286/106, 524/679

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 286/106, 524/679?

Answer: LCM of Numerators as per given numbers 286/106, 524/679 is

LCM of Numerators i.e. for 286,524 is 74932

GCF of denominators i.e. for 106,679 is 1.

Thus, LCM of Fractions is 74932.Finally, LCM of Fractions for 286/106, 524/679 is 74932.