Least Common Multiple of 94/27, 75/77, 67/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/27, 75/77, 67/580 quickly i.e. 472350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/27, 75/77, 67/580 is 472350.

LCM(94/27, 75/77, 67/580) = 472350

LCM of 94/27, 75/77, 67/580

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 94/27,75/77,67/580

Given numbers are 94/27,75/77,67/580

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 94,75,67

Least Common Multiple of Numerators i.e. LCM of 94,75,67 is 472350.

GCF of Denominators means GCF of 27,77,580 as per the given fractions.

GCF of 27,77,580 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,75,67

LCM of Fractions 94/27,75/77,67/580 is 472350

Given numbers has no common factors except 1. So, there LCM is their product i.e 472350

Least Common Multiple of 94,75,67 with GCF Formula

Least Common Multiple of 94,75,67 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 94,75,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,75,67) = 1

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

GCF(94,75,67) x common factors =1 x 1 = 1

LCM(94,75,67) = ( 94 × 75 × 67 ) / 1

LCM(94,75,67) = 472350 / 1

LCM(94,75,67) = 472350


Lets's calculate GCF of 27,77,580

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 472350/1

Therefore the LCM of Fractions 94/27,75/77,67/580 is 472350

Greatest Common Factor of 27,77,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,77,580 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 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 27,77,580 . The biggest common factor number is the GCF number.
So the greatest common factor 27,77,580 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 94/27, 75/77, 67/580

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 94/27, 75/77, 67/580?

Answer: LCM of Numerators as per given numbers 94/27, 75/77, 67/580 is

LCM of Numerators i.e. for 94,75,67 is 472350

GCF of denominators i.e. for 27,77,580 is 1.

Thus, LCM of Fractions is 472350.Finally, LCM of Fractions for 94/27, 75/77, 67/580 is 472350.