Least Common Multiple of 6162/720, 6300/5863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6162/720, 6300/5863 quickly i.e. 6470100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6162/720, 6300/5863 is 6470100.

LCM(6162/720, 6300/5863) = 6470100

LCM of 6162/720, 6300/5863

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 6162/720,6300/5863

Given numbers are 6162/720,6300/5863

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 6162,6300

Least Common Multiple of Numerators i.e. LCM of 6162,6300 is 6470100.

GCF of Denominators means GCF of 720,5863 as per the given fractions.

GCF of 720,5863 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6162,6300

LCM of Fractions 6162/720,6300/5863 is 6470100

2 6162, 6300
3 3081, 3150
1027, 1050

∴ So the LCM of the given numbers is 2 x 3 x 1027 x 1050 = 6470100

Least Common Multiple of 6162,6300 with GCF Formula

Least Common Multiple of 6162,6300 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 6162,6300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6162,6300) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(6162,6300) x common factors =6 x 1 = 6

LCM(6162,6300) = ( 6162 × 6300 ) / 6

LCM(6162,6300) = 38820600 / 6

LCM(6162,6300) = 6470100


Lets's calculate GCF of 720,5863

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6470100/1

Therefore the LCM of Fractions 6162/720,6300/5863 is 6470100

Greatest Common Factor of 720,5863 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,5863 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 5863

List of positive integer factors of 5863 that divides 5863 without a remainder.

1,11,13,41,143,451,533,5863

Greatest Common Factor

We found the factors 720,5863 . The biggest common factor number is the GCF number.
So the greatest common factor 720,5863 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 6162/720, 6300/5863

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 6162/720, 6300/5863?

Answer: LCM of Numerators as per given numbers 6162/720, 6300/5863 is

LCM of Numerators i.e. for 6162,6300 is 6470100

GCF of denominators i.e. for 720,5863 is 1.

Thus, LCM of Fractions is 6470100.Finally, LCM of Fractions for 6162/720, 6300/5863 is 6470100.