Least Common Multiple of 4610/20, 8542/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4610/20, 8542/645 quickly i.e. 3937862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4610/20, 8542/645 is 3937862.

LCM(4610/20, 8542/645) = 3937862

LCM of 4610/20, 8542/645

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 4610/20,8542/645

Given numbers are 4610/20,8542/645

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 4610,8542

Least Common Multiple of Numerators i.e. LCM of 4610,8542 is 19689310.

GCF of Denominators means GCF of 20,645 as per the given fractions.

GCF of 20,645 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4610,8542

LCM of Fractions 4610/20,8542/645 is 3937862

2 4610, 8542
2305, 4271

∴ So the LCM of the given numbers is 2 x 2305 x 4271 = 19689310

Least Common Multiple of 4610,8542 with GCF Formula

Least Common Multiple of 4610,8542 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 4610,8542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4610,8542) = 2

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

GCF(4610,8542) x common factors =2 x 1 = 2

LCM(4610,8542) = ( 4610 × 8542 ) / 2

LCM(4610,8542) = 39378620 / 2

LCM(4610,8542) = 19689310


Lets's calculate GCF of 20,645

5 20, 645
4, 129

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19689310/5

Therefore the LCM of Fractions 4610/20,8542/645 is 3937862

Greatest Common Factor of 20,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,645 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 20,645 . The biggest common factor number is the GCF number.
So the greatest common factor 20,645 is 5.


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 4610/20, 8542/645

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 4610/20, 8542/645?

Answer: LCM of Numerators as per given numbers 4610/20, 8542/645 is

LCM of Numerators i.e. for 4610,8542 is 19689310

GCF of denominators i.e. for 20,645 is 5.

Thus, LCM of Fractions is 3937862.Finally, LCM of Fractions for 4610/20, 8542/645 is 3937862.