Least Common Multiple of 48/992, 909/468, 288/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/992, 909/468, 288/123 quickly i.e. 29088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/992, 909/468, 288/123 is 29088.

LCM(48/992, 909/468, 288/123) = 29088

LCM of 48/992, 909/468, 288/123

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 48/992,909/468,288/123

Given numbers are 48/992,909/468,288/123

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 48,909,288

Least Common Multiple of Numerators i.e. LCM of 48,909,288 is 29088.

GCF of Denominators means GCF of 992,468,123 as per the given fractions.

GCF of 992,468,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,909,288

LCM of Fractions 48/992,909/468,288/123 is 29088

2 48, 909, 288
2 24, 909, 144
2 12, 909, 72
2 6, 909, 36
3 3, 909, 18
3 1, 303, 6
1, 101, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 1 x 101 x 2 = 29088

Least Common Multiple of 48,909,288 with GCF Formula

Least Common Multiple of 48,909,288 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 48,909,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,909,288) = 3

common factors(in case of two or more numbers have common factors) = 144

GCF(48,909,288) x common factors =3 x 144 = 432

LCM(48,909,288) = ( 48 × 909 × 288 ) / 432

LCM(48,909,288) = 12566016 / 432

LCM(48,909,288) = 29088


Lets's calculate GCF of 992,468,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29088/1

Therefore the LCM of Fractions 48/992,909/468,288/123 is 29088

Greatest Common Factor of 992,468,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,468,123 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 992,468,123 . The biggest common factor number is the GCF number.
So the greatest common factor 992,468,123 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 48/992, 909/468, 288/123

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 48/992, 909/468, 288/123?

Answer: LCM of Numerators as per given numbers 48/992, 909/468, 288/123 is

LCM of Numerators i.e. for 48,909,288 is 29088

GCF of denominators i.e. for 992,468,123 is 1.

Thus, LCM of Fractions is 29088.Finally, LCM of Fractions for 48/992, 909/468, 288/123 is 29088.