Least Common Multiple of 27/60, 311/94, 412/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/60, 311/94, 412/870 quickly i.e. 1729782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/60, 311/94, 412/870 is 1729782.

LCM(27/60, 311/94, 412/870) = 1729782

LCM of 27/60, 311/94, 412/870

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 27/60,311/94,412/870

Given numbers are 27/60,311/94,412/870

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 27,311,412

Least Common Multiple of Numerators i.e. LCM of 27,311,412 is 3459564.

GCF of Denominators means GCF of 60,94,870 as per the given fractions.

GCF of 60,94,870 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,311,412

LCM of Fractions 27/60,311/94,412/870 is 1729782

Given numbers has no common factors except 1. So, there LCM is their product i.e 3459564

Least Common Multiple of 27,311,412 with GCF Formula

Least Common Multiple of 27,311,412 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 27,311,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,311,412) = 1

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

GCF(27,311,412) x common factors =1 x 1 = 1

LCM(27,311,412) = ( 27 × 311 × 412 ) / 1

LCM(27,311,412) = 3459564 / 1

LCM(27,311,412) = 3459564


Lets's calculate GCF of 60,94,870

2 60, 94, 870
30, 47, 435

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3459564/2

Therefore the LCM of Fractions 27/60,311/94,412/870 is 1729782

Greatest Common Factor of 60,94,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,94,870 By Matching Biggest Common Factor Method

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 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 60,94,870 . The biggest common factor number is the GCF number.
So the greatest common factor 60,94,870 is 2.


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 27/60, 311/94, 412/870

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 27/60, 311/94, 412/870?

Answer: LCM of Numerators as per given numbers 27/60, 311/94, 412/870 is

LCM of Numerators i.e. for 27,311,412 is 3459564

GCF of denominators i.e. for 60,94,870 is 2.

Thus, LCM of Fractions is 1729782.Finally, LCM of Fractions for 27/60, 311/94, 412/870 is 1729782.