Least Common Multiple of 67/90, 94/96, 21/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/90, 94/96, 21/343 quickly i.e. 132258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/90, 94/96, 21/343 is 132258.

LCM(67/90, 94/96, 21/343) = 132258

LCM of 67/90, 94/96, 21/343

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 67/90,94/96,21/343

Given numbers are 67/90,94/96,21/343

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 67,94,21

Least Common Multiple of Numerators i.e. LCM of 67,94,21 is 132258.

GCF of Denominators means GCF of 90,96,343 as per the given fractions.

GCF of 90,96,343 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,94,21

LCM of Fractions 67/90,94/96,21/343 is 132258

Given numbers has no common factors except 1. So, there LCM is their product i.e 132258

Least Common Multiple of 67,94,21 with GCF Formula

Least Common Multiple of 67,94,21 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 67,94,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,94,21) = 1

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

GCF(67,94,21) x common factors =1 x 1 = 1

LCM(67,94,21) = ( 67 × 94 × 21 ) / 1

LCM(67,94,21) = 132258 / 1

LCM(67,94,21) = 132258


Lets's calculate GCF of 90,96,343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132258/1

Therefore the LCM of Fractions 67/90,94/96,21/343 is 132258

Greatest Common Factor of 90,96,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,96,343 By Matching Biggest Common Factor Method

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 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

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 90,96,343 . The biggest common factor number is the GCF number.
So the greatest common factor 90,96,343 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 67/90, 94/96, 21/343

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 67/90, 94/96, 21/343?

Answer: LCM of Numerators as per given numbers 67/90, 94/96, 21/343 is

LCM of Numerators i.e. for 67,94,21 is 132258

GCF of denominators i.e. for 90,96,343 is 1.

Thus, LCM of Fractions is 132258.Finally, LCM of Fractions for 67/90, 94/96, 21/343 is 132258.