Least Common Multiple of 72/466, 86/840, 420/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/466, 86/840, 420/563 quickly i.e. 108360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/466, 86/840, 420/563 is 108360.

LCM(72/466, 86/840, 420/563) = 108360

LCM of 72/466, 86/840, 420/563

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 72/466,86/840,420/563

Given numbers are 72/466,86/840,420/563

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 72,86,420

Least Common Multiple of Numerators i.e. LCM of 72,86,420 is 108360.

GCF of Denominators means GCF of 466,840,563 as per the given fractions.

GCF of 466,840,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,86,420

LCM of Fractions 72/466,86/840,420/563 is 108360

2 72, 86, 420
2 36, 43, 210
3 18, 43, 105
6, 43, 35

∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 43 x 35 = 108360

Least Common Multiple of 72,86,420 with GCF Formula

Least Common Multiple of 72,86,420 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 72,86,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,86,420) = 2

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

GCF(72,86,420) x common factors =2 x 12 = 24

LCM(72,86,420) = ( 72 × 86 × 420 ) / 24

LCM(72,86,420) = 2600640 / 24

LCM(72,86,420) = 108360


Lets's calculate GCF of 466,840,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108360/1

Therefore the LCM of Fractions 72/466,86/840,420/563 is 108360

Greatest Common Factor of 466,840,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,840,563 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 466,840,563 . The biggest common factor number is the GCF number.
So the greatest common factor 466,840,563 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 72/466, 86/840, 420/563

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 72/466, 86/840, 420/563?

Answer: LCM of Numerators as per given numbers 72/466, 86/840, 420/563 is

LCM of Numerators i.e. for 72,86,420 is 108360

GCF of denominators i.e. for 466,840,563 is 1.

Thus, LCM of Fractions is 108360.Finally, LCM of Fractions for 72/466, 86/840, 420/563 is 108360.