Least Common Multiple of 42/821, 3538/6179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/821, 3538/6179 quickly i.e. 74298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/821, 3538/6179 is 74298.

LCM(42/821, 3538/6179) = 74298

LCM of 42/821, 3538/6179

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 42/821,3538/6179

Given numbers are 42/821,3538/6179

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 42,3538

Least Common Multiple of Numerators i.e. LCM of 42,3538 is 74298.

GCF of Denominators means GCF of 821,6179 as per the given fractions.

GCF of 821,6179 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,3538

LCM of Fractions 42/821,3538/6179 is 74298

2 42, 3538
21, 1769

∴ So the LCM of the given numbers is 2 x 21 x 1769 = 74298

Least Common Multiple of 42,3538 with GCF Formula

Least Common Multiple of 42,3538 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 42,3538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,3538) = 2

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

GCF(42,3538) x common factors =2 x 1 = 2

LCM(42,3538) = ( 42 × 3538 ) / 2

LCM(42,3538) = 148596 / 2

LCM(42,3538) = 74298


Lets's calculate GCF of 821,6179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74298/1

Therefore the LCM of Fractions 42/821,3538/6179 is 74298

Greatest Common Factor of 821,6179 By Matching Biggest Common Factor Method

Greatest Common Factor of 821,6179 By Matching Biggest Common Factor Method

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 6179

List of positive integer factors of 6179 that divides 6179 without a remainder.

1,37,167,6179

Greatest Common Factor

We found the factors 821,6179 . The biggest common factor number is the GCF number.
So the greatest common factor 821,6179 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 42/821, 3538/6179

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 42/821, 3538/6179?

Answer: LCM of Numerators as per given numbers 42/821, 3538/6179 is

LCM of Numerators i.e. for 42,3538 is 74298

GCF of denominators i.e. for 821,6179 is 1.

Thus, LCM of Fractions is 74298.Finally, LCM of Fractions for 42/821, 3538/6179 is 74298.