Least Common Multiple of 680/27, 219/20, 421/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 680/27, 219/20, 421/454 quickly i.e. 62695320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 680/27, 219/20, 421/454 is 62695320.

LCM(680/27, 219/20, 421/454) = 62695320

LCM of 680/27, 219/20, 421/454

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 680/27,219/20,421/454

Given numbers are 680/27,219/20,421/454

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 680,219,421

Least Common Multiple of Numerators i.e. LCM of 680,219,421 is 62695320.

GCF of Denominators means GCF of 27,20,454 as per the given fractions.

GCF of 27,20,454 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 680,219,421

LCM of Fractions 680/27,219/20,421/454 is 62695320

Given numbers has no common factors except 1. So, there LCM is their product i.e 62695320

Least Common Multiple of 680,219,421 with GCF Formula

Least Common Multiple of 680,219,421 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 680,219,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,219,421) = 1

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

GCF(680,219,421) x common factors =1 x 1 = 1

LCM(680,219,421) = ( 680 × 219 × 421 ) / 1

LCM(680,219,421) = 62695320 / 1

LCM(680,219,421) = 62695320


Lets's calculate GCF of 27,20,454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62695320/1

Therefore the LCM of Fractions 680/27,219/20,421/454 is 62695320

Greatest Common Factor of 27,20,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,20,454 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 20

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

1,2,4,5,10,20

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 27,20,454 . The biggest common factor number is the GCF number.
So the greatest common factor 27,20,454 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 680/27, 219/20, 421/454

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 680/27, 219/20, 421/454?

Answer: LCM of Numerators as per given numbers 680/27, 219/20, 421/454 is

LCM of Numerators i.e. for 680,219,421 is 62695320

GCF of denominators i.e. for 27,20,454 is 1.

Thus, LCM of Fractions is 62695320.Finally, LCM of Fractions for 680/27, 219/20, 421/454 is 62695320.