Least Common Multiple of 95/486, 28/717, 418/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/486, 28/717, 418/158 quickly i.e. 29260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/486, 28/717, 418/158 is 29260.

LCM(95/486, 28/717, 418/158) = 29260

LCM of 95/486, 28/717, 418/158

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 95/486,28/717,418/158

Given numbers are 95/486,28/717,418/158

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 95,28,418

Least Common Multiple of Numerators i.e. LCM of 95,28,418 is 29260.

GCF of Denominators means GCF of 486,717,158 as per the given fractions.

GCF of 486,717,158 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,28,418

LCM of Fractions 95/486,28/717,418/158 is 29260

2 95, 28, 418
19 95, 14, 209
5, 14, 11

∴ So the LCM of the given numbers is 2 x 19 x 5 x 14 x 11 = 29260

Least Common Multiple of 95,28,418 with GCF Formula

Least Common Multiple of 95,28,418 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 95,28,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,28,418) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(95,28,418) x common factors =1 x 38 = 38

LCM(95,28,418) = ( 95 × 28 × 418 ) / 38

LCM(95,28,418) = 1111880 / 38

LCM(95,28,418) = 29260


Lets's calculate GCF of 486,717,158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29260/1

Therefore the LCM of Fractions 95/486,28/717,418/158 is 29260

Greatest Common Factor of 486,717,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,717,158 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 486,717,158 . The biggest common factor number is the GCF number.
So the greatest common factor 486,717,158 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 95/486, 28/717, 418/158

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 95/486, 28/717, 418/158?

Answer: LCM of Numerators as per given numbers 95/486, 28/717, 418/158 is

LCM of Numerators i.e. for 95,28,418 is 29260

GCF of denominators i.e. for 486,717,158 is 1.

Thus, LCM of Fractions is 29260.Finally, LCM of Fractions for 95/486, 28/717, 418/158 is 29260.