Least Common Multiple of 123/393, 410/767, 107/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/393, 410/767, 107/572 quickly i.e. 131610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/393, 410/767, 107/572 is 131610.

LCM(123/393, 410/767, 107/572) = 131610

LCM of 123/393, 410/767, 107/572

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 123/393,410/767,107/572

Given numbers are 123/393,410/767,107/572

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 123,410,107

Least Common Multiple of Numerators i.e. LCM of 123,410,107 is 131610.

GCF of Denominators means GCF of 393,767,572 as per the given fractions.

GCF of 393,767,572 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,410,107

LCM of Fractions 123/393,410/767,107/572 is 131610

41 123, 410, 107
3, 10, 107

∴ So the LCM of the given numbers is 41 x 3 x 10 x 107 = 131610

Least Common Multiple of 123,410,107 with GCF Formula

Least Common Multiple of 123,410,107 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 123,410,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,410,107) = 1

common factors(in case of two or more numbers have common factors) = 41

GCF(123,410,107) x common factors =1 x 41 = 41

LCM(123,410,107) = ( 123 × 410 × 107 ) / 41

LCM(123,410,107) = 5396010 / 41

LCM(123,410,107) = 131610


Lets's calculate GCF of 393,767,572

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131610/1

Therefore the LCM of Fractions 123/393,410/767,107/572 is 131610

Greatest Common Factor of 393,767,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,767,572 By Matching Biggest Common Factor Method

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 393,767,572 . The biggest common factor number is the GCF number.
So the greatest common factor 393,767,572 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 123/393, 410/767, 107/572

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 123/393, 410/767, 107/572?

Answer: LCM of Numerators as per given numbers 123/393, 410/767, 107/572 is

LCM of Numerators i.e. for 123,410,107 is 131610

GCF of denominators i.e. for 393,767,572 is 1.

Thus, LCM of Fractions is 131610.Finally, LCM of Fractions for 123/393, 410/767, 107/572 is 131610.