Least Common Multiple of 609/21, 293/16, 466/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 609/21, 293/16, 466/995 quickly i.e. 83151642 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 609/21, 293/16, 466/995 is 83151642.

LCM(609/21, 293/16, 466/995) = 83151642

LCM of 609/21, 293/16, 466/995

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 609/21,293/16,466/995

Given numbers are 609/21,293/16,466/995

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 609,293,466

Least Common Multiple of Numerators i.e. LCM of 609,293,466 is 83151642.

GCF of Denominators means GCF of 21,16,995 as per the given fractions.

GCF of 21,16,995 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 609,293,466

LCM of Fractions 609/21,293/16,466/995 is 83151642

Given numbers has no common factors except 1. So, there LCM is their product i.e 83151642

Least Common Multiple of 609,293,466 with GCF Formula

Least Common Multiple of 609,293,466 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 609,293,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,293,466) = 1

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

GCF(609,293,466) x common factors =1 x 1 = 1

LCM(609,293,466) = ( 609 × 293 × 466 ) / 1

LCM(609,293,466) = 83151642 / 1

LCM(609,293,466) = 83151642


Lets's calculate GCF of 21,16,995

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83151642/1

Therefore the LCM of Fractions 609/21,293/16,466/995 is 83151642

Greatest Common Factor of 21,16,995 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,16,995 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Greatest Common Factor

We found the factors 21,16,995 . The biggest common factor number is the GCF number.
So the greatest common factor 21,16,995 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 609/21, 293/16, 466/995

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 609/21, 293/16, 466/995?

Answer: LCM of Numerators as per given numbers 609/21, 293/16, 466/995 is

LCM of Numerators i.e. for 609,293,466 is 83151642

GCF of denominators i.e. for 21,16,995 is 1.

Thus, LCM of Fractions is 83151642.Finally, LCM of Fractions for 609/21, 293/16, 466/995 is 83151642.