Least Common Multiple of 1/43, 89/216, 31/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/43, 89/216, 31/343 quickly i.e. 2759 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/43, 89/216, 31/343 is 2759.

LCM(1/43, 89/216, 31/343) = 2759

LCM of 1/43, 89/216, 31/343

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 1/43,89/216,31/343

Given numbers are 1/43,89/216,31/343

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 1,89,31

Least Common Multiple of Numerators i.e. LCM of 1,89,31 is 2759.

GCF of Denominators means GCF of 43,216,343 as per the given fractions.

GCF of 43,216,343 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,89,31

LCM of Fractions 1/43,89/216,31/343 is 2759

Given numbers has no common factors except 1. So, there LCM is their product i.e 2759

Least Common Multiple of 1,89,31 with GCF Formula

Least Common Multiple of 1,89,31 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 1,89,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,89,31) = 1

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

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

LCM(1,89,31) = ( 1 × 89 × 31 ) / 1

LCM(1,89,31) = 2759 / 1

LCM(1,89,31) = 2759


Lets's calculate GCF of 43,216,343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2759/1

Therefore the LCM of Fractions 1/43,89/216,31/343 is 2759

Greatest Common Factor of 43,216,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,216,343 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 43,216,343 . The biggest common factor number is the GCF number.
So the greatest common factor 43,216,343 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 1/43, 89/216, 31/343

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 1/43, 89/216, 31/343?

Answer: LCM of Numerators as per given numbers 1/43, 89/216, 31/343 is

LCM of Numerators i.e. for 1,89,31 is 2759

GCF of denominators i.e. for 43,216,343 is 1.

Thus, LCM of Fractions is 2759.Finally, LCM of Fractions for 1/43, 89/216, 31/343 is 2759.