Least Common Multiple of 272/553, 421/182, 878/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 272/553, 421/182, 878/506 quickly i.e. 50270768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 272/553, 421/182, 878/506 is 50270768.

LCM(272/553, 421/182, 878/506) = 50270768

LCM of 272/553, 421/182, 878/506

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 272/553,421/182,878/506

Given numbers are 272/553,421/182,878/506

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 272,421,878

Least Common Multiple of Numerators i.e. LCM of 272,421,878 is 50270768.

GCF of Denominators means GCF of 553,182,506 as per the given fractions.

GCF of 553,182,506 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 272,421,878

LCM of Fractions 272/553,421/182,878/506 is 50270768

2 272, 421, 878
136, 421, 439

∴ So the LCM of the given numbers is 2 x 136 x 421 x 439 = 50270768

Least Common Multiple of 272,421,878 with GCF Formula

Least Common Multiple of 272,421,878 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 272,421,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,421,878) = 1

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

GCF(272,421,878) x common factors =1 x 2 = 2

LCM(272,421,878) = ( 272 × 421 × 878 ) / 2

LCM(272,421,878) = 100541536 / 2

LCM(272,421,878) = 50270768


Lets's calculate GCF of 553,182,506

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50270768/1

Therefore the LCM of Fractions 272/553,421/182,878/506 is 50270768

Greatest Common Factor of 553,182,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,182,506 By Matching Biggest Common Factor Method

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 553,182,506 . The biggest common factor number is the GCF number.
So the greatest common factor 553,182,506 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 272/553, 421/182, 878/506

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 272/553, 421/182, 878/506?

Answer: LCM of Numerators as per given numbers 272/553, 421/182, 878/506 is

LCM of Numerators i.e. for 272,421,878 is 50270768

GCF of denominators i.e. for 553,182,506 is 1.

Thus, LCM of Fractions is 50270768.Finally, LCM of Fractions for 272/553, 421/182, 878/506 is 50270768.