Least Common Multiple of 645/42, 293/5006

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 645/42, 293/5006 quickly i.e. 188985/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 645/42, 293/5006 is 188985/2.

LCM(645/42, 293/5006) = 188985/2

LCM of 645/42, 293/5006

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 645/42,293/5006

Given numbers are 645/42,293/5006

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 645,293

Least Common Multiple of Numerators i.e. LCM of 645,293 is 188985.

GCF of Denominators means GCF of 42,5006 as per the given fractions.

GCF of 42,5006 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 645,293

LCM of Fractions 645/42,293/5006 is 188985/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 188985

Least Common Multiple of 645,293 with GCF Formula

Least Common Multiple of 645,293 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 645,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,293) = 1

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

GCF(645,293) x common factors =1 x 1 = 1

LCM(645,293) = ( 645 × 293 ) / 1

LCM(645,293) = 188985 / 1

LCM(645,293) = 188985


Lets's calculate GCF of 42,5006

2 42, 5006
21, 2503

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188985/2

Therefore the LCM of Fractions 645/42,293/5006 is 188985/2

Greatest Common Factor of 42,5006 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,5006 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 5006

List of positive integer factors of 5006 that divides 5006 without a remainder.

1,2,2503,5006

Greatest Common Factor

We found the factors 42,5006 . The biggest common factor number is the GCF number.
So the greatest common factor 42,5006 is 2.


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 645/42, 293/5006

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 645/42, 293/5006?

Answer: LCM of Numerators as per given numbers 645/42, 293/5006 is

LCM of Numerators i.e. for 645,293 is 188985

GCF of denominators i.e. for 42,5006 is 2.

Thus, LCM of Fractions is 188985/2.Finally, LCM of Fractions for 645/42, 293/5006 is 188985/2.