Least Common Multiple of 95/66, 95/90, 89/68, 31/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/66, 95/90, 89/68, 31/440 quickly i.e. 262105/2 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, 95/90, 89/68, 31/440 is 262105/2.

LCM(95/66, 95/90, 89/68, 31/440) = 262105/2

LCM of 95/66, 95/90, 89/68, 31/440

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 95/66,95/90,89/68,31/440

Given numbers are 95/66,95/90,89/68,31/440

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 95,95,89,31

Least Common Multiple of Numerators i.e. LCM of 95,95,89,31 is 262105.

GCF of Denominators means GCF of 66,90,68,440 as per the given fractions.

GCF of 66,90,68,440 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,95,89,31

LCM of Fractions 95/66,95/90,89/68,31/440 is 262105/2

5 95, 95, 89, 31
19 19, 19, 89, 31
1, 1, 89, 31

∴ So the LCM of the given numbers is 5 x 19 x 1 x 1 x 89 x 31 = 262105

Least Common Multiple of 95,95,89,31 with GCF Formula

Least Common Multiple of 95,95,89,31 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 95,95,89,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,95,89,31) = 1

common factors(in case of two or more numbers have common factors) = 95

GCF(95,95,89,31) x common factors =1 x 95 = 95

LCM(95,95,89,31) = ( 95 × 95 × 89 × 31 ) / 95

LCM(95,95,89,31) = 24899975 / 95

LCM(95,95,89,31) = 262105


Lets's calculate GCF of 66,90,68,440

2 66, 90, 68, 440
33, 45, 34, 220

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262105/2

Therefore the LCM of Fractions 95/66,95/90,89/68,31/440 is 262105/2

Greatest Common Factor of 66,90,68,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,90,68,440 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 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 66,90,68,440 . The biggest common factor number is the GCF number.
So the greatest common factor 66,90,68,440 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, 95/90, 89/68, 31/440

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, 95/90, 89/68, 31/440?

Answer: LCM of Numerators as per given numbers 95/66, 95/90, 89/68, 31/440 is

LCM of Numerators i.e. for 95,95,89,31 is 262105

GCF of denominators i.e. for 66,90,68,440 is 2.

Thus, LCM of Fractions is 262105/2.Finally, LCM of Fractions for 95/66, 95/90, 89/68, 31/440 is 262105/2.