Least Common Multiple of 559/132, 463/978, 442/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 559/132, 463/978, 442/256 quickly i.e. 4399889 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 559/132, 463/978, 442/256 is 4399889.

LCM(559/132, 463/978, 442/256) = 4399889

LCM of 559/132, 463/978, 442/256

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 559/132,463/978,442/256

Given numbers are 559/132,463/978,442/256

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 559,463,442

Least Common Multiple of Numerators i.e. LCM of 559,463,442 is 8799778.

GCF of Denominators means GCF of 132,978,256 as per the given fractions.

GCF of 132,978,256 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 559,463,442

LCM of Fractions 559/132,463/978,442/256 is 4399889

13 559, 463, 442
43, 463, 34

∴ So the LCM of the given numbers is 13 x 43 x 463 x 34 = 8799778

Least Common Multiple of 559,463,442 with GCF Formula

Least Common Multiple of 559,463,442 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 559,463,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(559,463,442) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(559,463,442) x common factors =1 x 13 = 13

LCM(559,463,442) = ( 559 × 463 × 442 ) / 13

LCM(559,463,442) = 114397114 / 13

LCM(559,463,442) = 8799778


Lets's calculate GCF of 132,978,256

2 132, 978, 256
66, 489, 128

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8799778/2

Therefore the LCM of Fractions 559/132,463/978,442/256 is 4399889

Greatest Common Factor of 132,978,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,978,256 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 132,978,256 . The biggest common factor number is the GCF number.
So the greatest common factor 132,978,256 is 2.


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 559/132, 463/978, 442/256

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 559/132, 463/978, 442/256?

Answer: LCM of Numerators as per given numbers 559/132, 463/978, 442/256 is

LCM of Numerators i.e. for 559,463,442 is 8799778

GCF of denominators i.e. for 132,978,256 is 2.

Thus, LCM of Fractions is 4399889.Finally, LCM of Fractions for 559/132, 463/978, 442/256 is 4399889.