Least Common Multiple of 615/854, 612/734, 789/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 615/854, 612/734, 789/276 quickly i.e. 16497990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 615/854, 612/734, 789/276 is 16497990.

LCM(615/854, 612/734, 789/276) = 16497990

LCM of 615/854, 612/734, 789/276

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 615/854,612/734,789/276

Given numbers are 615/854,612/734,789/276

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 615,612,789

Least Common Multiple of Numerators i.e. LCM of 615,612,789 is 32995980.

GCF of Denominators means GCF of 854,734,276 as per the given fractions.

GCF of 854,734,276 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 615,612,789

LCM of Fractions 615/854,612/734,789/276 is 16497990

3 615, 612, 789
205, 204, 263

∴ So the LCM of the given numbers is 3 x 205 x 204 x 263 = 32995980

Least Common Multiple of 615,612,789 with GCF Formula

Least Common Multiple of 615,612,789 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 615,612,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,612,789) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(615,612,789) x common factors =3 x 3 = 9

LCM(615,612,789) = ( 615 × 612 × 789 ) / 9

LCM(615,612,789) = 296963820 / 9

LCM(615,612,789) = 32995980


Lets's calculate GCF of 854,734,276

2 854, 734, 276
427, 367, 138

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32995980/2

Therefore the LCM of Fractions 615/854,612/734,789/276 is 16497990

Greatest Common Factor of 854,734,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,734,276 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 854,734,276 . The biggest common factor number is the GCF number.
So the greatest common factor 854,734,276 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 615/854, 612/734, 789/276

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 615/854, 612/734, 789/276?

Answer: LCM of Numerators as per given numbers 615/854, 612/734, 789/276 is

LCM of Numerators i.e. for 615,612,789 is 32995980

GCF of denominators i.e. for 854,734,276 is 2.

Thus, LCM of Fractions is 16497990.Finally, LCM of Fractions for 615/854, 612/734, 789/276 is 16497990.