Least Common Multiple of 619/728, 483/725, 478/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 619/728, 483/725, 478/606 quickly i.e. 142911006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 619/728, 483/725, 478/606 is 142911006.

LCM(619/728, 483/725, 478/606) = 142911006

LCM of 619/728, 483/725, 478/606

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 619/728,483/725,478/606

Given numbers are 619/728,483/725,478/606

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 619,483,478

Least Common Multiple of Numerators i.e. LCM of 619,483,478 is 142911006.

GCF of Denominators means GCF of 728,725,606 as per the given fractions.

GCF of 728,725,606 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 619,483,478

LCM of Fractions 619/728,483/725,478/606 is 142911006

Given numbers has no common factors except 1. So, there LCM is their product i.e 142911006

Least Common Multiple of 619,483,478 with GCF Formula

Least Common Multiple of 619,483,478 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 619,483,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(619,483,478) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(619,483,478) x common factors =1 x 1 = 1

LCM(619,483,478) = ( 619 × 483 × 478 ) / 1

LCM(619,483,478) = 142911006 / 1

LCM(619,483,478) = 142911006


Lets's calculate GCF of 728,725,606

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142911006/1

Therefore the LCM of Fractions 619/728,483/725,478/606 is 142911006

Greatest Common Factor of 728,725,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,725,606 By Matching Biggest Common Factor Method

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

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 728,725,606 . The biggest common factor number is the GCF number.
So the greatest common factor 728,725,606 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 619/728, 483/725, 478/606

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 619/728, 483/725, 478/606?

Answer: LCM of Numerators as per given numbers 619/728, 483/725, 478/606 is

LCM of Numerators i.e. for 619,483,478 is 142911006

GCF of denominators i.e. for 728,725,606 is 1.

Thus, LCM of Fractions is 142911006.Finally, LCM of Fractions for 619/728, 483/725, 478/606 is 142911006.