Least Common Multiple of 442/48, 242/39, 616/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 442/48, 242/39, 616/744 quickly i.e. 1497496/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 442/48, 242/39, 616/744 is 1497496/3.

LCM(442/48, 242/39, 616/744) = 1497496/3

LCM of 442/48, 242/39, 616/744

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 442/48,242/39,616/744

Given numbers are 442/48,242/39,616/744

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 442,242,616

Least Common Multiple of Numerators i.e. LCM of 442,242,616 is 1497496.

GCF of Denominators means GCF of 48,39,744 as per the given fractions.

GCF of 48,39,744 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 442,242,616

LCM of Fractions 442/48,242/39,616/744 is 1497496/3

2 442, 242, 616
11 221, 121, 308
221, 11, 28

∴ So the LCM of the given numbers is 2 x 11 x 221 x 11 x 28 = 1497496

Least Common Multiple of 442,242,616 with GCF Formula

Least Common Multiple of 442,242,616 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 442,242,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,242,616) = 2

common factors(in case of two or more numbers have common factors) = 22

GCF(442,242,616) x common factors =2 x 22 = 44

LCM(442,242,616) = ( 442 × 242 × 616 ) / 44

LCM(442,242,616) = 65889824 / 44

LCM(442,242,616) = 1497496


Lets's calculate GCF of 48,39,744

3 48, 39, 744
16, 13, 248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1497496/3

Therefore the LCM of Fractions 442/48,242/39,616/744 is 1497496/3

Greatest Common Factor of 48,39,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,39,744 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 48,39,744 . The biggest common factor number is the GCF number.
So the greatest common factor 48,39,744 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 442/48, 242/39, 616/744

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 442/48, 242/39, 616/744?

Answer: LCM of Numerators as per given numbers 442/48, 242/39, 616/744 is

LCM of Numerators i.e. for 442,242,616 is 1497496

GCF of denominators i.e. for 48,39,744 is 3.

Thus, LCM of Fractions is 1497496/3.Finally, LCM of Fractions for 442/48, 242/39, 616/744 is 1497496/3.