Least Common Multiple of 52/712, 69/565, 216/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/712, 69/565, 216/146 quickly i.e. 64584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/712, 69/565, 216/146 is 64584.

LCM(52/712, 69/565, 216/146) = 64584

LCM of 52/712, 69/565, 216/146

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 52/712,69/565,216/146

Given numbers are 52/712,69/565,216/146

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 52,69,216

Least Common Multiple of Numerators i.e. LCM of 52,69,216 is 64584.

GCF of Denominators means GCF of 712,565,146 as per the given fractions.

GCF of 712,565,146 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,69,216

LCM of Fractions 52/712,69/565,216/146 is 64584

2 52, 69, 216
2 26, 69, 108
3 13, 69, 54
13, 23, 18

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 23 x 18 = 64584

Least Common Multiple of 52,69,216 with GCF Formula

Least Common Multiple of 52,69,216 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 52,69,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,69,216) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(52,69,216) x common factors =1 x 12 = 12

LCM(52,69,216) = ( 52 × 69 × 216 ) / 12

LCM(52,69,216) = 775008 / 12

LCM(52,69,216) = 64584


Lets's calculate GCF of 712,565,146

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64584/1

Therefore the LCM of Fractions 52/712,69/565,216/146 is 64584

Greatest Common Factor of 712,565,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,565,146 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 712,565,146 . The biggest common factor number is the GCF number.
So the greatest common factor 712,565,146 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 52/712, 69/565, 216/146

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 52/712, 69/565, 216/146?

Answer: LCM of Numerators as per given numbers 52/712, 69/565, 216/146 is

LCM of Numerators i.e. for 52,69,216 is 64584

GCF of denominators i.e. for 712,565,146 is 1.

Thus, LCM of Fractions is 64584.Finally, LCM of Fractions for 52/712, 69/565, 216/146 is 64584.