Least Common Multiple of 276/108, 664/958, 612/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 276/108, 664/958, 612/399 quickly i.e. 2336616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 276/108, 664/958, 612/399 is 2336616.

LCM(276/108, 664/958, 612/399) = 2336616

LCM of 276/108, 664/958, 612/399

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 276/108,664/958,612/399

Given numbers are 276/108,664/958,612/399

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 276,664,612

Least Common Multiple of Numerators i.e. LCM of 276,664,612 is 2336616.

GCF of Denominators means GCF of 108,958,399 as per the given fractions.

GCF of 108,958,399 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 276,664,612

LCM of Fractions 276/108,664/958,612/399 is 2336616

2 276, 664, 612
2 138, 332, 306
3 69, 166, 153
23, 166, 51

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 166 x 51 = 2336616

Least Common Multiple of 276,664,612 with GCF Formula

Least Common Multiple of 276,664,612 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 276,664,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,664,612) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(276,664,612) x common factors =4 x 12 = 48

LCM(276,664,612) = ( 276 × 664 × 612 ) / 48

LCM(276,664,612) = 112157568 / 48

LCM(276,664,612) = 2336616


Lets's calculate GCF of 108,958,399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2336616/1

Therefore the LCM of Fractions 276/108,664/958,612/399 is 2336616

Greatest Common Factor of 108,958,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,958,399 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 108,958,399 . The biggest common factor number is the GCF number.
So the greatest common factor 108,958,399 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 276/108, 664/958, 612/399

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 276/108, 664/958, 612/399?

Answer: LCM of Numerators as per given numbers 276/108, 664/958, 612/399 is

LCM of Numerators i.e. for 276,664,612 is 2336616

GCF of denominators i.e. for 108,958,399 is 1.

Thus, LCM of Fractions is 2336616.Finally, LCM of Fractions for 276/108, 664/958, 612/399 is 2336616.