Least Common Multiple of 42/521, 84/228, 249/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/521, 84/228, 249/685 quickly i.e. 6972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/521, 84/228, 249/685 is 6972.

LCM(42/521, 84/228, 249/685) = 6972

LCM of 42/521, 84/228, 249/685

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 42/521,84/228,249/685

Given numbers are 42/521,84/228,249/685

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 42,84,249

Least Common Multiple of Numerators i.e. LCM of 42,84,249 is 6972.

GCF of Denominators means GCF of 521,228,685 as per the given fractions.

GCF of 521,228,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,84,249

LCM of Fractions 42/521,84/228,249/685 is 6972

2 42, 84, 249
3 21, 42, 249
7 7, 14, 83
1, 2, 83

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 2 x 83 = 6972

Least Common Multiple of 42,84,249 with GCF Formula

Least Common Multiple of 42,84,249 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 42,84,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,84,249) = 3

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

GCF(42,84,249) x common factors =3 x 42 = 126

LCM(42,84,249) = ( 42 × 84 × 249 ) / 126

LCM(42,84,249) = 878472 / 126

LCM(42,84,249) = 6972


Lets's calculate GCF of 521,228,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6972/1

Therefore the LCM of Fractions 42/521,84/228,249/685 is 6972

Greatest Common Factor of 521,228,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 521,228,685 By Matching Biggest Common Factor Method

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 521,228,685 . The biggest common factor number is the GCF number.
So the greatest common factor 521,228,685 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 42/521, 84/228, 249/685

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 42/521, 84/228, 249/685?

Answer: LCM of Numerators as per given numbers 42/521, 84/228, 249/685 is

LCM of Numerators i.e. for 42,84,249 is 6972

GCF of denominators i.e. for 521,228,685 is 1.

Thus, LCM of Fractions is 6972.Finally, LCM of Fractions for 42/521, 84/228, 249/685 is 6972.