Least Common Multiple of 259/927, 318/408, 278/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 259/927, 318/408, 278/648 quickly i.e. 3816106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 259/927, 318/408, 278/648 is 3816106.

LCM(259/927, 318/408, 278/648) = 3816106

LCM of 259/927, 318/408, 278/648

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 259/927,318/408,278/648

Given numbers are 259/927,318/408,278/648

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 259,318,278

Least Common Multiple of Numerators i.e. LCM of 259,318,278 is 11448318.

GCF of Denominators means GCF of 927,408,648 as per the given fractions.

GCF of 927,408,648 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 259,318,278

LCM of Fractions 259/927,318/408,278/648 is 3816106

2 259, 318, 278
259, 159, 139

∴ So the LCM of the given numbers is 2 x 259 x 159 x 139 = 11448318

Least Common Multiple of 259,318,278 with GCF Formula

Least Common Multiple of 259,318,278 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 259,318,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(259,318,278) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(259,318,278) x common factors =1 x 2 = 2

LCM(259,318,278) = ( 259 × 318 × 278 ) / 2

LCM(259,318,278) = 22896636 / 2

LCM(259,318,278) = 11448318


Lets's calculate GCF of 927,408,648

3 927, 408, 648
309, 136, 216

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11448318/3

Therefore the LCM of Fractions 259/927,318/408,278/648 is 3816106

Greatest Common Factor of 927,408,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 927,408,648 By Matching Biggest Common Factor Method

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 927,408,648 . The biggest common factor number is the GCF number.
So the greatest common factor 927,408,648 is 3.


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 259/927, 318/408, 278/648

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 259/927, 318/408, 278/648?

Answer: LCM of Numerators as per given numbers 259/927, 318/408, 278/648 is

LCM of Numerators i.e. for 259,318,278 is 11448318

GCF of denominators i.e. for 927,408,648 is 3.

Thus, LCM of Fractions is 3816106.Finally, LCM of Fractions for 259/927, 318/408, 278/648 is 3816106.