Least Common Multiple of 56/192, 509/54, 756/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/192, 509/54, 756/438 quickly i.e. 128268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/192, 509/54, 756/438 is 128268.

LCM(56/192, 509/54, 756/438) = 128268

LCM of 56/192, 509/54, 756/438

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 56/192,509/54,756/438

Given numbers are 56/192,509/54,756/438

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 56,509,756

Least Common Multiple of Numerators i.e. LCM of 56,509,756 is 769608.

GCF of Denominators means GCF of 192,54,438 as per the given fractions.

GCF of 192,54,438 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,509,756

LCM of Fractions 56/192,509/54,756/438 is 128268

2 56, 509, 756
2 28, 509, 378
7 14, 509, 189
2, 509, 27

∴ So the LCM of the given numbers is 2 x 2 x 7 x 2 x 509 x 27 = 769608

Least Common Multiple of 56,509,756 with GCF Formula

Least Common Multiple of 56,509,756 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 56,509,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,509,756) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(56,509,756) x common factors =1 x 28 = 28

LCM(56,509,756) = ( 56 × 509 × 756 ) / 28

LCM(56,509,756) = 21549024 / 28

LCM(56,509,756) = 769608


Lets's calculate GCF of 192,54,438

2 192, 54, 438
3 96, 27, 219
32, 9, 73

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 769608/6

Therefore the LCM of Fractions 56/192,509/54,756/438 is 128268

Greatest Common Factor of 192,54,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 192,54,438 By Matching Biggest Common Factor Method

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 192,54,438 . The biggest common factor number is the GCF number.
So the greatest common factor 192,54,438 is 6.


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 56/192, 509/54, 756/438

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 56/192, 509/54, 756/438?

Answer: LCM of Numerators as per given numbers 56/192, 509/54, 756/438 is

LCM of Numerators i.e. for 56,509,756 is 769608

GCF of denominators i.e. for 192,54,438 is 6.

Thus, LCM of Fractions is 128268.Finally, LCM of Fractions for 56/192, 509/54, 756/438 is 128268.