Least Common Multiple of 48/394, 58/123, 576/653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/394, 58/123, 576/653 quickly i.e. 16704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/394, 58/123, 576/653 is 16704.

LCM(48/394, 58/123, 576/653) = 16704

LCM of 48/394, 58/123, 576/653

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 48/394,58/123,576/653

Given numbers are 48/394,58/123,576/653

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 48,58,576

Least Common Multiple of Numerators i.e. LCM of 48,58,576 is 16704.

GCF of Denominators means GCF of 394,123,653 as per the given fractions.

GCF of 394,123,653 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,58,576

LCM of Fractions 48/394,58/123,576/653 is 16704

2 48, 58, 576
2 24, 29, 288
2 12, 29, 144
2 6, 29, 72
3 3, 29, 36
1, 29, 12

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 29 x 12 = 16704

Least Common Multiple of 48,58,576 with GCF Formula

Least Common Multiple of 48,58,576 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 48,58,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,58,576) = 2

common factors(in case of two or more numbers have common factors) = 48

GCF(48,58,576) x common factors =2 x 48 = 96

LCM(48,58,576) = ( 48 × 58 × 576 ) / 96

LCM(48,58,576) = 1603584 / 96

LCM(48,58,576) = 16704


Lets's calculate GCF of 394,123,653

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16704/1

Therefore the LCM of Fractions 48/394,58/123,576/653 is 16704

Greatest Common Factor of 394,123,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,123,653 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 123

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

1,3,41,123

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 394,123,653 . The biggest common factor number is the GCF number.
So the greatest common factor 394,123,653 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 48/394, 58/123, 576/653

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 48/394, 58/123, 576/653?

Answer: LCM of Numerators as per given numbers 48/394, 58/123, 576/653 is

LCM of Numerators i.e. for 48,58,576 is 16704

GCF of denominators i.e. for 394,123,653 is 1.

Thus, LCM of Fractions is 16704.Finally, LCM of Fractions for 48/394, 58/123, 576/653 is 16704.