Least Common Multiple of 61/909, 28/172, 542/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/909, 28/172, 542/841 quickly i.e. 462868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/909, 28/172, 542/841 is 462868.

LCM(61/909, 28/172, 542/841) = 462868

LCM of 61/909, 28/172, 542/841

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 61/909,28/172,542/841

Given numbers are 61/909,28/172,542/841

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 61,28,542

Least Common Multiple of Numerators i.e. LCM of 61,28,542 is 462868.

GCF of Denominators means GCF of 909,172,841 as per the given fractions.

GCF of 909,172,841 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,28,542

LCM of Fractions 61/909,28/172,542/841 is 462868

2 61, 28, 542
61, 14, 271

∴ So the LCM of the given numbers is 2 x 61 x 14 x 271 = 462868

Least Common Multiple of 61,28,542 with GCF Formula

Least Common Multiple of 61,28,542 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 61,28,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,28,542) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(61,28,542) x common factors =1 x 2 = 2

LCM(61,28,542) = ( 61 × 28 × 542 ) / 2

LCM(61,28,542) = 925736 / 2

LCM(61,28,542) = 462868


Lets's calculate GCF of 909,172,841

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 462868/1

Therefore the LCM of Fractions 61/909,28/172,542/841 is 462868

Greatest Common Factor of 909,172,841 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,172,841 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Greatest Common Factor

We found the factors 909,172,841 . The biggest common factor number is the GCF number.
So the greatest common factor 909,172,841 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 61/909, 28/172, 542/841

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 61/909, 28/172, 542/841?

Answer: LCM of Numerators as per given numbers 61/909, 28/172, 542/841 is

LCM of Numerators i.e. for 61,28,542 is 462868

GCF of denominators i.e. for 909,172,841 is 1.

Thus, LCM of Fractions is 462868.Finally, LCM of Fractions for 61/909, 28/172, 542/841 is 462868.