Least Common Multiple of 306/54, 772/2223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 306/54, 772/2223 quickly i.e. 13124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 306/54, 772/2223 is 13124.

LCM(306/54, 772/2223) = 13124

LCM of 306/54, 772/2223

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 306/54,772/2223

Given numbers are 306/54,772/2223

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 306,772

Least Common Multiple of Numerators i.e. LCM of 306,772 is 118116.

GCF of Denominators means GCF of 54,2223 as per the given fractions.

GCF of 54,2223 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 306,772

LCM of Fractions 306/54,772/2223 is 13124

2 306, 772
153, 386

∴ So the LCM of the given numbers is 2 x 153 x 386 = 118116

Least Common Multiple of 306,772 with GCF Formula

Least Common Multiple of 306,772 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 306,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,772) = 2

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

GCF(306,772) x common factors =2 x 1 = 2

LCM(306,772) = ( 306 × 772 ) / 2

LCM(306,772) = 236232 / 2

LCM(306,772) = 118116


Lets's calculate GCF of 54,2223

3 54, 2223
3 18, 741
6, 247

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118116/9

Therefore the LCM of Fractions 306/54,772/2223 is 13124

Greatest Common Factor of 54,2223 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,2223 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 2223

List of positive integer factors of 2223 that divides 2223 without a remainder.

1,3,9,13,19,39,57,117,171,247,741,2223

Greatest Common Factor

We found the factors 54,2223 . The biggest common factor number is the GCF number.
So the greatest common factor 54,2223 is 9.


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 306/54, 772/2223

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 306/54, 772/2223?

Answer: LCM of Numerators as per given numbers 306/54, 772/2223 is

LCM of Numerators i.e. for 306,772 is 118116

GCF of denominators i.e. for 54,2223 is 9.

Thus, LCM of Fractions is 13124.Finally, LCM of Fractions for 306/54, 772/2223 is 13124.