Least Common Multiple of 61/99, 75/49, 21/72, 81/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/99, 75/49, 21/72, 81/216 quickly i.e. 864675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/99, 75/49, 21/72, 81/216 is 864675.

LCM(61/99, 75/49, 21/72, 81/216) = 864675

LCM of 61/99, 75/49, 21/72, 81/216

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 61/99,75/49,21/72,81/216

Given numbers are 61/99,75/49,21/72,81/216

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 61,75,21,81

Least Common Multiple of Numerators i.e. LCM of 61,75,21,81 is 864675.

GCF of Denominators means GCF of 99,49,72,216 as per the given fractions.

GCF of 99,49,72,216 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,75,21,81

LCM of Fractions 61/99,75/49,21/72,81/216 is 864675

3 61, 75, 21, 81
61, 25, 7, 27

∴ So the LCM of the given numbers is 3 x 61 x 25 x 7 x 27 = 864675

Least Common Multiple of 61,75,21,81 with GCF Formula

Least Common Multiple of 61,75,21,81 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 61,75,21,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,75,21,81) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(61,75,21,81) x common factors =1 x 9 = 9

LCM(61,75,21,81) = ( 61 × 75 × 21 × 81 ) / 9

LCM(61,75,21,81) = 7782075 / 9

LCM(61,75,21,81) = 864675


Lets's calculate GCF of 99,49,72,216

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 864675/1

Therefore the LCM of Fractions 61/99,75/49,21/72,81/216 is 864675

Greatest Common Factor of 99,49,72,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,49,72,216 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

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

Greatest Common Factor

We found the factors 99,49,72,216 . The biggest common factor number is the GCF number.
So the greatest common factor 99,49,72,216 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 61/99, 75/49, 21/72, 81/216

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 61/99, 75/49, 21/72, 81/216?

Answer: LCM of Numerators as per given numbers 61/99, 75/49, 21/72, 81/216 is

LCM of Numerators i.e. for 61,75,21,81 is 864675

GCF of denominators i.e. for 99,49,72,216 is 1.

Thus, LCM of Fractions is 864675.Finally, LCM of Fractions for 61/99, 75/49, 21/72, 81/216 is 864675.