Least Common Multiple of 27/58, 67/84, 47/21, 80/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/58, 67/84, 47/21, 80/407 quickly i.e. 6801840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/58, 67/84, 47/21, 80/407 is 6801840.

LCM(27/58, 67/84, 47/21, 80/407) = 6801840

LCM of 27/58, 67/84, 47/21, 80/407

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 27/58,67/84,47/21,80/407

Given numbers are 27/58,67/84,47/21,80/407

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 27,67,47,80

Least Common Multiple of Numerators i.e. LCM of 27,67,47,80 is 6801840.

GCF of Denominators means GCF of 58,84,21,407 as per the given fractions.

GCF of 58,84,21,407 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,67,47,80

LCM of Fractions 27/58,67/84,47/21,80/407 is 6801840

Given numbers has no common factors except 1. So, there LCM is their product i.e 6801840

Least Common Multiple of 27,67,47,80 with GCF Formula

Least Common Multiple of 27,67,47,80 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 27,67,47,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,67,47,80) = 1

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

GCF(27,67,47,80) x common factors =1 x 1 = 1

LCM(27,67,47,80) = ( 27 × 67 × 47 × 80 ) / 1

LCM(27,67,47,80) = 6801840 / 1

LCM(27,67,47,80) = 6801840


Lets's calculate GCF of 58,84,21,407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6801840/1

Therefore the LCM of Fractions 27/58,67/84,47/21,80/407 is 6801840

Greatest Common Factor of 58,84,21,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,84,21,407 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 21

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

1,3,7,21

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 58,84,21,407 . The biggest common factor number is the GCF number.
So the greatest common factor 58,84,21,407 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 27/58, 67/84, 47/21, 80/407

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 27/58, 67/84, 47/21, 80/407?

Answer: LCM of Numerators as per given numbers 27/58, 67/84, 47/21, 80/407 is

LCM of Numerators i.e. for 27,67,47,80 is 6801840

GCF of denominators i.e. for 58,84,21,407 is 1.

Thus, LCM of Fractions is 6801840.Finally, LCM of Fractions for 27/58, 67/84, 47/21, 80/407 is 6801840.