Least Common Multiple of 546/24, 444/7707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/24, 444/7707 quickly i.e. 13468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/24, 444/7707 is 13468.

LCM(546/24, 444/7707) = 13468

LCM of 546/24, 444/7707

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 546/24,444/7707

Given numbers are 546/24,444/7707

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 546,444

Least Common Multiple of Numerators i.e. LCM of 546,444 is 40404.

GCF of Denominators means GCF of 24,7707 as per the given fractions.

GCF of 24,7707 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,444

LCM of Fractions 546/24,444/7707 is 13468

2 546, 444
3 273, 222
91, 74

∴ So the LCM of the given numbers is 2 x 3 x 91 x 74 = 40404

Least Common Multiple of 546,444 with GCF Formula

Least Common Multiple of 546,444 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 546,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,444) = 6

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

GCF(546,444) x common factors =6 x 1 = 6

LCM(546,444) = ( 546 × 444 ) / 6

LCM(546,444) = 242424 / 6

LCM(546,444) = 40404


Lets's calculate GCF of 24,7707

3 24, 7707
8, 2569

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40404/3

Therefore the LCM of Fractions 546/24,444/7707 is 13468

Greatest Common Factor of 24,7707 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,7707 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 7707

List of positive integer factors of 7707 that divides 7707 without a remainder.

1,3,7,21,367,1101,2569,7707

Greatest Common Factor

We found the factors 24,7707 . The biggest common factor number is the GCF number.
So the greatest common factor 24,7707 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 546/24, 444/7707

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 546/24, 444/7707?

Answer: LCM of Numerators as per given numbers 546/24, 444/7707 is

LCM of Numerators i.e. for 546,444 is 40404

GCF of denominators i.e. for 24,7707 is 3.

Thus, LCM of Fractions is 13468.Finally, LCM of Fractions for 546/24, 444/7707 is 13468.