Least Common Multiple of 95/496, 12/585, 718/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/496, 12/585, 718/214 quickly i.e. 409260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/496, 12/585, 718/214 is 409260.

LCM(95/496, 12/585, 718/214) = 409260

LCM of 95/496, 12/585, 718/214

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 95/496,12/585,718/214

Given numbers are 95/496,12/585,718/214

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 95,12,718

Least Common Multiple of Numerators i.e. LCM of 95,12,718 is 409260.

GCF of Denominators means GCF of 496,585,214 as per the given fractions.

GCF of 496,585,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,12,718

LCM of Fractions 95/496,12/585,718/214 is 409260

2 95, 12, 718
95, 6, 359

∴ So the LCM of the given numbers is 2 x 95 x 6 x 359 = 409260

Least Common Multiple of 95,12,718 with GCF Formula

Least Common Multiple of 95,12,718 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 95,12,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,12,718) = 1

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

GCF(95,12,718) x common factors =1 x 2 = 2

LCM(95,12,718) = ( 95 × 12 × 718 ) / 2

LCM(95,12,718) = 818520 / 2

LCM(95,12,718) = 409260


Lets's calculate GCF of 496,585,214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 409260/1

Therefore the LCM of Fractions 95/496,12/585,718/214 is 409260

Greatest Common Factor of 496,585,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,585,214 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 496,585,214 . The biggest common factor number is the GCF number.
So the greatest common factor 496,585,214 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 95/496, 12/585, 718/214

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 95/496, 12/585, 718/214?

Answer: LCM of Numerators as per given numbers 95/496, 12/585, 718/214 is

LCM of Numerators i.e. for 95,12,718 is 409260

GCF of denominators i.e. for 496,585,214 is 1.

Thus, LCM of Fractions is 409260.Finally, LCM of Fractions for 95/496, 12/585, 718/214 is 409260.