Least Common Multiple of 468/87, 905/23, 852/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 468/87, 905/23, 852/566 quickly i.e. 30071340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 468/87, 905/23, 852/566 is 30071340.

LCM(468/87, 905/23, 852/566) = 30071340

LCM of 468/87, 905/23, 852/566

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 468/87,905/23,852/566

Given numbers are 468/87,905/23,852/566

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 468,905,852

Least Common Multiple of Numerators i.e. LCM of 468,905,852 is 30071340.

GCF of Denominators means GCF of 87,23,566 as per the given fractions.

GCF of 87,23,566 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 468,905,852

LCM of Fractions 468/87,905/23,852/566 is 30071340

2 468, 905, 852
2 234, 905, 426
3 117, 905, 213
39, 905, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 39 x 905 x 71 = 30071340

Least Common Multiple of 468,905,852 with GCF Formula

Least Common Multiple of 468,905,852 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 468,905,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,905,852) = 1

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

GCF(468,905,852) x common factors =1 x 12 = 12

LCM(468,905,852) = ( 468 × 905 × 852 ) / 12

LCM(468,905,852) = 360856080 / 12

LCM(468,905,852) = 30071340


Lets's calculate GCF of 87,23,566

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30071340/1

Therefore the LCM of Fractions 468/87,905/23,852/566 is 30071340

Greatest Common Factor of 87,23,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,23,566 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 87,23,566 . The biggest common factor number is the GCF number.
So the greatest common factor 87,23,566 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 468/87, 905/23, 852/566

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 468/87, 905/23, 852/566?

Answer: LCM of Numerators as per given numbers 468/87, 905/23, 852/566 is

LCM of Numerators i.e. for 468,905,852 is 30071340

GCF of denominators i.e. for 87,23,566 is 1.

Thus, LCM of Fractions is 30071340.Finally, LCM of Fractions for 468/87, 905/23, 852/566 is 30071340.