Least Common Multiple of 44/978, 76/510, 563/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/978, 76/510, 563/728 quickly i.e. 235334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/978, 76/510, 563/728 is 235334.

LCM(44/978, 76/510, 563/728) = 235334

LCM of 44/978, 76/510, 563/728

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 44/978,76/510,563/728

Given numbers are 44/978,76/510,563/728

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 44,76,563

Least Common Multiple of Numerators i.e. LCM of 44,76,563 is 470668.

GCF of Denominators means GCF of 978,510,728 as per the given fractions.

GCF of 978,510,728 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,76,563

LCM of Fractions 44/978,76/510,563/728 is 235334

2 44, 76, 563
2 22, 38, 563
11, 19, 563

∴ So the LCM of the given numbers is 2 x 2 x 11 x 19 x 563 = 470668

Least Common Multiple of 44,76,563 with GCF Formula

Least Common Multiple of 44,76,563 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 44,76,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,76,563) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(44,76,563) x common factors =1 x 4 = 4

LCM(44,76,563) = ( 44 × 76 × 563 ) / 4

LCM(44,76,563) = 1882672 / 4

LCM(44,76,563) = 470668


Lets's calculate GCF of 978,510,728

2 978, 510, 728
489, 255, 364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 470668/2

Therefore the LCM of Fractions 44/978,76/510,563/728 is 235334

Greatest Common Factor of 978,510,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,510,728 By Matching Biggest Common Factor Method

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 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 978,510,728 . The biggest common factor number is the GCF number.
So the greatest common factor 978,510,728 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 44/978, 76/510, 563/728

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 44/978, 76/510, 563/728?

Answer: LCM of Numerators as per given numbers 44/978, 76/510, 563/728 is

LCM of Numerators i.e. for 44,76,563 is 470668

GCF of denominators i.e. for 978,510,728 is 2.

Thus, LCM of Fractions is 235334.Finally, LCM of Fractions for 44/978, 76/510, 563/728 is 235334.