Least Common Multiple of 27/35, 467/59, 208/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/35, 467/59, 208/894 quickly i.e. 2622672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/35, 467/59, 208/894 is 2622672.

LCM(27/35, 467/59, 208/894) = 2622672

LCM of 27/35, 467/59, 208/894

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 27/35,467/59,208/894

Given numbers are 27/35,467/59,208/894

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 27,467,208

Least Common Multiple of Numerators i.e. LCM of 27,467,208 is 2622672.

GCF of Denominators means GCF of 35,59,894 as per the given fractions.

GCF of 35,59,894 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,467,208

LCM of Fractions 27/35,467/59,208/894 is 2622672

Given numbers has no common factors except 1. So, there LCM is their product i.e 2622672

Least Common Multiple of 27,467,208 with GCF Formula

Least Common Multiple of 27,467,208 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 27,467,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,467,208) = 1

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

GCF(27,467,208) x common factors =1 x 1 = 1

LCM(27,467,208) = ( 27 × 467 × 208 ) / 1

LCM(27,467,208) = 2622672 / 1

LCM(27,467,208) = 2622672


Lets's calculate GCF of 35,59,894

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2622672/1

Therefore the LCM of Fractions 27/35,467/59,208/894 is 2622672

Greatest Common Factor of 35,59,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,59,894 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 35,59,894 . The biggest common factor number is the GCF number.
So the greatest common factor 35,59,894 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 27/35, 467/59, 208/894

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 27/35, 467/59, 208/894?

Answer: LCM of Numerators as per given numbers 27/35, 467/59, 208/894 is

LCM of Numerators i.e. for 27,467,208 is 2622672

GCF of denominators i.e. for 35,59,894 is 1.

Thus, LCM of Fractions is 2622672.Finally, LCM of Fractions for 27/35, 467/59, 208/894 is 2622672.