Least Common Multiple of 12/779, 41/412, 997/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/779, 41/412, 997/553 quickly i.e. 490524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/779, 41/412, 997/553 is 490524.

LCM(12/779, 41/412, 997/553) = 490524

LCM of 12/779, 41/412, 997/553

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 12/779,41/412,997/553

Given numbers are 12/779,41/412,997/553

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 12,41,997

Least Common Multiple of Numerators i.e. LCM of 12,41,997 is 490524.

GCF of Denominators means GCF of 779,412,553 as per the given fractions.

GCF of 779,412,553 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,41,997

LCM of Fractions 12/779,41/412,997/553 is 490524

Given numbers has no common factors except 1. So, there LCM is their product i.e 490524

Least Common Multiple of 12,41,997 with GCF Formula

Least Common Multiple of 12,41,997 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 12,41,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,41,997) = 1

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

GCF(12,41,997) x common factors =1 x 1 = 1

LCM(12,41,997) = ( 12 × 41 × 997 ) / 1

LCM(12,41,997) = 490524 / 1

LCM(12,41,997) = 490524


Lets's calculate GCF of 779,412,553

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 490524/1

Therefore the LCM of Fractions 12/779,41/412,997/553 is 490524

Greatest Common Factor of 779,412,553 By Matching Biggest Common Factor Method

Greatest Common Factor of 779,412,553 By Matching Biggest Common Factor Method

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Greatest Common Factor

We found the factors 779,412,553 . The biggest common factor number is the GCF number.
So the greatest common factor 779,412,553 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 12/779, 41/412, 997/553

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 12/779, 41/412, 997/553?

Answer: LCM of Numerators as per given numbers 12/779, 41/412, 997/553 is

LCM of Numerators i.e. for 12,41,997 is 490524

GCF of denominators i.e. for 779,412,553 is 1.

Thus, LCM of Fractions is 490524.Finally, LCM of Fractions for 12/779, 41/412, 997/553 is 490524.