Least Common Multiple of 89/322, 95/843, 712/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/322, 95/843, 712/235 quickly i.e. 67640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/322, 95/843, 712/235 is 67640.

LCM(89/322, 95/843, 712/235) = 67640

LCM of 89/322, 95/843, 712/235

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 89/322,95/843,712/235

Given numbers are 89/322,95/843,712/235

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 89,95,712

Least Common Multiple of Numerators i.e. LCM of 89,95,712 is 67640.

GCF of Denominators means GCF of 322,843,235 as per the given fractions.

GCF of 322,843,235 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,95,712

LCM of Fractions 89/322,95/843,712/235 is 67640

89 89, 95, 712
1, 95, 8

∴ So the LCM of the given numbers is 89 x 1 x 95 x 8 = 67640

Least Common Multiple of 89,95,712 with GCF Formula

Least Common Multiple of 89,95,712 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 89,95,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,95,712) = 1

common factors(in case of two or more numbers have common factors) = 89

GCF(89,95,712) x common factors =1 x 89 = 89

LCM(89,95,712) = ( 89 × 95 × 712 ) / 89

LCM(89,95,712) = 6019960 / 89

LCM(89,95,712) = 67640


Lets's calculate GCF of 322,843,235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67640/1

Therefore the LCM of Fractions 89/322,95/843,712/235 is 67640

Greatest Common Factor of 322,843,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,843,235 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 322,843,235 . The biggest common factor number is the GCF number.
So the greatest common factor 322,843,235 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 89/322, 95/843, 712/235

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 89/322, 95/843, 712/235?

Answer: LCM of Numerators as per given numbers 89/322, 95/843, 712/235 is

LCM of Numerators i.e. for 89,95,712 is 67640

GCF of denominators i.e. for 322,843,235 is 1.

Thus, LCM of Fractions is 67640.Finally, LCM of Fractions for 89/322, 95/843, 712/235 is 67640.