Least Common Multiple of 27/92, 480/43, 560/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/92, 480/43, 560/188 quickly i.e. 30240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/92, 480/43, 560/188 is 30240.

LCM(27/92, 480/43, 560/188) = 30240

LCM of 27/92, 480/43, 560/188

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 27/92,480/43,560/188

Given numbers are 27/92,480/43,560/188

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 27,480,560

Least Common Multiple of Numerators i.e. LCM of 27,480,560 is 30240.

GCF of Denominators means GCF of 92,43,188 as per the given fractions.

GCF of 92,43,188 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,480,560

LCM of Fractions 27/92,480/43,560/188 is 30240

2 27, 480, 560
2 27, 240, 280
2 27, 120, 140
2 27, 60, 70
3 27, 30, 35
5 9, 10, 35
9, 2, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 9 x 2 x 7 = 30240

Least Common Multiple of 27,480,560 with GCF Formula

Least Common Multiple of 27,480,560 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 27,480,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,480,560) = 1

common factors(in case of two or more numbers have common factors) = 240

GCF(27,480,560) x common factors =1 x 240 = 240

LCM(27,480,560) = ( 27 × 480 × 560 ) / 240

LCM(27,480,560) = 7257600 / 240

LCM(27,480,560) = 30240


Lets's calculate GCF of 92,43,188

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30240/1

Therefore the LCM of Fractions 27/92,480/43,560/188 is 30240

Greatest Common Factor of 92,43,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,43,188 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 92,43,188 . The biggest common factor number is the GCF number.
So the greatest common factor 92,43,188 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 27/92, 480/43, 560/188

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 27/92, 480/43, 560/188?

Answer: LCM of Numerators as per given numbers 27/92, 480/43, 560/188 is

LCM of Numerators i.e. for 27,480,560 is 30240

GCF of denominators i.e. for 92,43,188 is 1.

Thus, LCM of Fractions is 30240.Finally, LCM of Fractions for 27/92, 480/43, 560/188 is 30240.