Least Common Multiple of 48/796, 81/439, 456/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/796, 81/439, 456/760 quickly i.e. 24624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/796, 81/439, 456/760 is 24624.

LCM(48/796, 81/439, 456/760) = 24624

LCM of 48/796, 81/439, 456/760

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 48/796,81/439,456/760

Given numbers are 48/796,81/439,456/760

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 48,81,456

Least Common Multiple of Numerators i.e. LCM of 48,81,456 is 24624.

GCF of Denominators means GCF of 796,439,760 as per the given fractions.

GCF of 796,439,760 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,81,456

LCM of Fractions 48/796,81/439,456/760 is 24624

2 48, 81, 456
2 24, 81, 228
2 12, 81, 114
3 6, 81, 57
2, 27, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 2 x 27 x 19 = 24624

Least Common Multiple of 48,81,456 with GCF Formula

Least Common Multiple of 48,81,456 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 48,81,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,81,456) = 3

common factors(in case of two or more numbers have common factors) = 24

GCF(48,81,456) x common factors =3 x 24 = 72

LCM(48,81,456) = ( 48 × 81 × 456 ) / 72

LCM(48,81,456) = 1772928 / 72

LCM(48,81,456) = 24624


Lets's calculate GCF of 796,439,760

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24624/1

Therefore the LCM of Fractions 48/796,81/439,456/760 is 24624

Greatest Common Factor of 796,439,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,439,760 By Matching Biggest Common Factor Method

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 796,439,760 . The biggest common factor number is the GCF number.
So the greatest common factor 796,439,760 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 48/796, 81/439, 456/760

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 48/796, 81/439, 456/760?

Answer: LCM of Numerators as per given numbers 48/796, 81/439, 456/760 is

LCM of Numerators i.e. for 48,81,456 is 24624

GCF of denominators i.e. for 796,439,760 is 1.

Thus, LCM of Fractions is 24624.Finally, LCM of Fractions for 48/796, 81/439, 456/760 is 24624.