Least Common Multiple of 89/95, 36/77, 52/66, 72/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/95, 36/77, 52/66, 72/347 quickly i.e. 83304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/95, 36/77, 52/66, 72/347 is 83304.

LCM(89/95, 36/77, 52/66, 72/347) = 83304

LCM of 89/95, 36/77, 52/66, 72/347

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 89/95,36/77,52/66,72/347

Given numbers are 89/95,36/77,52/66,72/347

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 89,36,52,72

Least Common Multiple of Numerators i.e. LCM of 89,36,52,72 is 83304.

GCF of Denominators means GCF of 95,77,66,347 as per the given fractions.

GCF of 95,77,66,347 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,36,52,72

LCM of Fractions 89/95,36/77,52/66,72/347 is 83304

2 89, 36, 52, 72
2 89, 18, 26, 36
3 89, 9, 13, 18
3 89, 3, 13, 6
89, 1, 13, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 89 x 1 x 13 x 2 = 83304

Least Common Multiple of 89,36,52,72 with GCF Formula

Least Common Multiple of 89,36,52,72 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 89,36,52,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,36,52,72) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(89,36,52,72) x common factors =1 x 144 = 144

LCM(89,36,52,72) = ( 89 × 36 × 52 × 72 ) / 144

LCM(89,36,52,72) = 11995776 / 144

LCM(89,36,52,72) = 83304


Lets's calculate GCF of 95,77,66,347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83304/1

Therefore the LCM of Fractions 89/95,36/77,52/66,72/347 is 83304

Greatest Common Factor of 95,77,66,347 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,77,66,347 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 77

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

1,7,11,77

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 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Greatest Common Factor

We found the factors 95,77,66,347 . The biggest common factor number is the GCF number.
So the greatest common factor 95,77,66,347 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 89/95, 36/77, 52/66, 72/347

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 89/95, 36/77, 52/66, 72/347?

Answer: LCM of Numerators as per given numbers 89/95, 36/77, 52/66, 72/347 is

LCM of Numerators i.e. for 89,36,52,72 is 83304

GCF of denominators i.e. for 95,77,66,347 is 1.

Thus, LCM of Fractions is 83304.Finally, LCM of Fractions for 89/95, 36/77, 52/66, 72/347 is 83304.