Least Common Multiple of 462/620, 854/622, 568/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/620, 854/622, 568/663 quickly i.e. 8003688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/620, 854/622, 568/663 is 8003688.

LCM(462/620, 854/622, 568/663) = 8003688

LCM of 462/620, 854/622, 568/663

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 462/620,854/622,568/663

Given numbers are 462/620,854/622,568/663

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 462,854,568

Least Common Multiple of Numerators i.e. LCM of 462,854,568 is 8003688.

GCF of Denominators means GCF of 620,622,663 as per the given fractions.

GCF of 620,622,663 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,854,568

LCM of Fractions 462/620,854/622,568/663 is 8003688

2 462, 854, 568
7 231, 427, 284
33, 61, 284

∴ So the LCM of the given numbers is 2 x 7 x 33 x 61 x 284 = 8003688

Least Common Multiple of 462,854,568 with GCF Formula

Least Common Multiple of 462,854,568 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 462,854,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,854,568) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(462,854,568) x common factors =2 x 14 = 28

LCM(462,854,568) = ( 462 × 854 × 568 ) / 28

LCM(462,854,568) = 224103264 / 28

LCM(462,854,568) = 8003688


Lets's calculate GCF of 620,622,663

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8003688/1

Therefore the LCM of Fractions 462/620,854/622,568/663 is 8003688

Greatest Common Factor of 620,622,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 620,622,663 By Matching Biggest Common Factor Method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 620,622,663 . The biggest common factor number is the GCF number.
So the greatest common factor 620,622,663 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 462/620, 854/622, 568/663

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 462/620, 854/622, 568/663?

Answer: LCM of Numerators as per given numbers 462/620, 854/622, 568/663 is

LCM of Numerators i.e. for 462,854,568 is 8003688

GCF of denominators i.e. for 620,622,663 is 1.

Thus, LCM of Fractions is 8003688.Finally, LCM of Fractions for 462/620, 854/622, 568/663 is 8003688.