Least Common Multiple of 95/66, 17/44, 75/62, 27/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/66, 17/44, 75/62, 27/318 quickly i.e. 218025/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/66, 17/44, 75/62, 27/318 is 218025/2.

LCM(95/66, 17/44, 75/62, 27/318) = 218025/2

LCM of 95/66, 17/44, 75/62, 27/318

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 95/66,17/44,75/62,27/318

Given numbers are 95/66,17/44,75/62,27/318

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 95,17,75,27

Least Common Multiple of Numerators i.e. LCM of 95,17,75,27 is 218025.

GCF of Denominators means GCF of 66,44,62,318 as per the given fractions.

GCF of 66,44,62,318 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,17,75,27

LCM of Fractions 95/66,17/44,75/62,27/318 is 218025/2

3 95, 17, 75, 27
5 95, 17, 25, 9
19, 17, 5, 9

∴ So the LCM of the given numbers is 3 x 5 x 19 x 17 x 5 x 9 = 218025

Least Common Multiple of 95,17,75,27 with GCF Formula

Least Common Multiple of 95,17,75,27 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 95,17,75,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,17,75,27) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(95,17,75,27) x common factors =1 x 15 = 15

LCM(95,17,75,27) = ( 95 × 17 × 75 × 27 ) / 15

LCM(95,17,75,27) = 3270375 / 15

LCM(95,17,75,27) = 218025


Lets's calculate GCF of 66,44,62,318

2 66, 44, 62, 318
33, 22, 31, 159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218025/2

Therefore the LCM of Fractions 95/66,17/44,75/62,27/318 is 218025/2

Greatest Common Factor of 66,44,62,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,44,62,318 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 66,44,62,318 . The biggest common factor number is the GCF number.
So the greatest common factor 66,44,62,318 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 95/66, 17/44, 75/62, 27/318

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 95/66, 17/44, 75/62, 27/318?

Answer: LCM of Numerators as per given numbers 95/66, 17/44, 75/62, 27/318 is

LCM of Numerators i.e. for 95,17,75,27 is 218025

GCF of denominators i.e. for 66,44,62,318 is 2.

Thus, LCM of Fractions is 218025/2.Finally, LCM of Fractions for 95/66, 17/44, 75/62, 27/318 is 218025/2.