Least Common Multiple of 61/216, 39/549, 558/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/216, 39/549, 558/501 quickly i.e. 147498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/216, 39/549, 558/501 is 147498.

LCM(61/216, 39/549, 558/501) = 147498

LCM of 61/216, 39/549, 558/501

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 61/216,39/549,558/501

Given numbers are 61/216,39/549,558/501

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 61,39,558

Least Common Multiple of Numerators i.e. LCM of 61,39,558 is 442494.

GCF of Denominators means GCF of 216,549,501 as per the given fractions.

GCF of 216,549,501 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,39,558

LCM of Fractions 61/216,39/549,558/501 is 147498

3 61, 39, 558
61, 13, 186

∴ So the LCM of the given numbers is 3 x 61 x 13 x 186 = 442494

Least Common Multiple of 61,39,558 with GCF Formula

Least Common Multiple of 61,39,558 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 61,39,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,39,558) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(61,39,558) x common factors =1 x 3 = 3

LCM(61,39,558) = ( 61 × 39 × 558 ) / 3

LCM(61,39,558) = 1327482 / 3

LCM(61,39,558) = 442494


Lets's calculate GCF of 216,549,501

3 216, 549, 501
72, 183, 167

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 442494/3

Therefore the LCM of Fractions 61/216,39/549,558/501 is 147498

Greatest Common Factor of 216,549,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,549,501 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 216,549,501 . The biggest common factor number is the GCF number.
So the greatest common factor 216,549,501 is 3.


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 61/216, 39/549, 558/501

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 61/216, 39/549, 558/501?

Answer: LCM of Numerators as per given numbers 61/216, 39/549, 558/501 is

LCM of Numerators i.e. for 61,39,558 is 442494

GCF of denominators i.e. for 216,549,501 is 3.

Thus, LCM of Fractions is 147498.Finally, LCM of Fractions for 61/216, 39/549, 558/501 is 147498.