Least Common Multiple of 806/21, 609/60, 467/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 806/21, 609/60, 467/742 quickly i.e. 229228818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 806/21, 609/60, 467/742 is 229228818.

LCM(806/21, 609/60, 467/742) = 229228818

LCM of 806/21, 609/60, 467/742

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 806/21,609/60,467/742

Given numbers are 806/21,609/60,467/742

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 806,609,467

Least Common Multiple of Numerators i.e. LCM of 806,609,467 is 229228818.

GCF of Denominators means GCF of 21,60,742 as per the given fractions.

GCF of 21,60,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 806,609,467

LCM of Fractions 806/21,609/60,467/742 is 229228818

Given numbers has no common factors except 1. So, there LCM is their product i.e 229228818

Least Common Multiple of 806,609,467 with GCF Formula

Least Common Multiple of 806,609,467 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 806,609,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,609,467) = 1

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

GCF(806,609,467) x common factors =1 x 1 = 1

LCM(806,609,467) = ( 806 × 609 × 467 ) / 1

LCM(806,609,467) = 229228818 / 1

LCM(806,609,467) = 229228818


Lets's calculate GCF of 21,60,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229228818/1

Therefore the LCM of Fractions 806/21,609/60,467/742 is 229228818

Greatest Common Factor of 21,60,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,60,742 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 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 21,60,742 . The biggest common factor number is the GCF number.
So the greatest common factor 21,60,742 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 806/21, 609/60, 467/742

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 806/21, 609/60, 467/742?

Answer: LCM of Numerators as per given numbers 806/21, 609/60, 467/742 is

LCM of Numerators i.e. for 806,609,467 is 229228818

GCF of denominators i.e. for 21,60,742 is 1.

Thus, LCM of Fractions is 229228818.Finally, LCM of Fractions for 806/21, 609/60, 467/742 is 229228818.