Least Common Multiple of 219/99, 747/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 219/99, 747/946 quickly i.e. 54531/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 219/99, 747/946 is 54531/11.

LCM(219/99, 747/946) = 54531/11

LCM of 219/99, 747/946

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 219/99,747/946

Given numbers are 219/99,747/946

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 219,747

Least Common Multiple of Numerators i.e. LCM of 219,747 is 54531.

GCF of Denominators means GCF of 99,946 as per the given fractions.

GCF of 99,946 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 219,747

LCM of Fractions 219/99,747/946 is 54531/11

3 219, 747
73, 249

∴ So the LCM of the given numbers is 3 x 73 x 249 = 54531

Least Common Multiple of 219,747 with GCF Formula

Least Common Multiple of 219,747 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 219,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,747) = 3

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

GCF(219,747) x common factors =3 x 1 = 3

LCM(219,747) = ( 219 × 747 ) / 3

LCM(219,747) = 163593 / 3

LCM(219,747) = 54531


Lets's calculate GCF of 99,946

11 99, 946
9, 86

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54531/11

Therefore the LCM of Fractions 219/99,747/946 is 54531/11

Greatest Common Factor of 99,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,946 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 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 99,946 . The biggest common factor number is the GCF number.
So the greatest common factor 99,946 is 11.


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 219/99, 747/946

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 219/99, 747/946?

Answer: LCM of Numerators as per given numbers 219/99, 747/946 is

LCM of Numerators i.e. for 219,747 is 54531

GCF of denominators i.e. for 99,946 is 11.

Thus, LCM of Fractions is 54531/11.Finally, LCM of Fractions for 219/99, 747/946 is 54531/11.