Least Common Multiple of 78/654, 268/581, 123/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/654, 268/581, 123/226 quickly i.e. 428532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/654, 268/581, 123/226 is 428532.

LCM(78/654, 268/581, 123/226) = 428532

LCM of 78/654, 268/581, 123/226

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 78/654,268/581,123/226

Given numbers are 78/654,268/581,123/226

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 78,268,123

Least Common Multiple of Numerators i.e. LCM of 78,268,123 is 428532.

GCF of Denominators means GCF of 654,581,226 as per the given fractions.

GCF of 654,581,226 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,268,123

LCM of Fractions 78/654,268/581,123/226 is 428532

2 78, 268, 123
3 39, 134, 123
13, 134, 41

∴ So the LCM of the given numbers is 2 x 3 x 13 x 134 x 41 = 428532

Least Common Multiple of 78,268,123 with GCF Formula

Least Common Multiple of 78,268,123 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 78,268,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,268,123) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,268,123) x common factors =1 x 6 = 6

LCM(78,268,123) = ( 78 × 268 × 123 ) / 6

LCM(78,268,123) = 2571192 / 6

LCM(78,268,123) = 428532


Lets's calculate GCF of 654,581,226

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 428532/1

Therefore the LCM of Fractions 78/654,268/581,123/226 is 428532

Greatest Common Factor of 654,581,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,581,226 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 654,581,226 . The biggest common factor number is the GCF number.
So the greatest common factor 654,581,226 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 78/654, 268/581, 123/226

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 78/654, 268/581, 123/226?

Answer: LCM of Numerators as per given numbers 78/654, 268/581, 123/226 is

LCM of Numerators i.e. for 78,268,123 is 428532

GCF of denominators i.e. for 654,581,226 is 1.

Thus, LCM of Fractions is 428532.Finally, LCM of Fractions for 78/654, 268/581, 123/226 is 428532.