Least Common Multiple of 87/65, 908/79, 219/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/65, 908/79, 219/506 quickly i.e. 5766708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/65, 908/79, 219/506 is 5766708.

LCM(87/65, 908/79, 219/506) = 5766708

LCM of 87/65, 908/79, 219/506

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 87/65,908/79,219/506

Given numbers are 87/65,908/79,219/506

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 87,908,219

Least Common Multiple of Numerators i.e. LCM of 87,908,219 is 5766708.

GCF of Denominators means GCF of 65,79,506 as per the given fractions.

GCF of 65,79,506 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,908,219

LCM of Fractions 87/65,908/79,219/506 is 5766708

3 87, 908, 219
29, 908, 73

∴ So the LCM of the given numbers is 3 x 29 x 908 x 73 = 5766708

Least Common Multiple of 87,908,219 with GCF Formula

Least Common Multiple of 87,908,219 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 87,908,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,908,219) = 1

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

GCF(87,908,219) x common factors =1 x 3 = 3

LCM(87,908,219) = ( 87 × 908 × 219 ) / 3

LCM(87,908,219) = 17300124 / 3

LCM(87,908,219) = 5766708


Lets's calculate GCF of 65,79,506

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5766708/1

Therefore the LCM of Fractions 87/65,908/79,219/506 is 5766708

Greatest Common Factor of 65,79,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,79,506 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 65,79,506 . The biggest common factor number is the GCF number.
So the greatest common factor 65,79,506 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 87/65, 908/79, 219/506

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 87/65, 908/79, 219/506?

Answer: LCM of Numerators as per given numbers 87/65, 908/79, 219/506 is

LCM of Numerators i.e. for 87,908,219 is 5766708

GCF of denominators i.e. for 65,79,506 is 1.

Thus, LCM of Fractions is 5766708.Finally, LCM of Fractions for 87/65, 908/79, 219/506 is 5766708.