Least Common Multiple of 96/67, 46/68, 204/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/67, 46/68, 204/993 quickly i.e. 37536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/67, 46/68, 204/993 is 37536.

LCM(96/67, 46/68, 204/993) = 37536

LCM of 96/67, 46/68, 204/993

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 96/67,46/68,204/993

Given numbers are 96/67,46/68,204/993

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 96,46,204

Least Common Multiple of Numerators i.e. LCM of 96,46,204 is 37536.

GCF of Denominators means GCF of 67,68,993 as per the given fractions.

GCF of 67,68,993 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,46,204

LCM of Fractions 96/67,46/68,204/993 is 37536

2 96, 46, 204
2 48, 23, 102
3 24, 23, 51
8, 23, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 8 x 23 x 17 = 37536

Least Common Multiple of 96,46,204 with GCF Formula

Least Common Multiple of 96,46,204 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 96,46,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,46,204) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(96,46,204) x common factors =2 x 12 = 24

LCM(96,46,204) = ( 96 × 46 × 204 ) / 24

LCM(96,46,204) = 900864 / 24

LCM(96,46,204) = 37536


Lets's calculate GCF of 67,68,993

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37536/1

Therefore the LCM of Fractions 96/67,46/68,204/993 is 37536

Greatest Common Factor of 67,68,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,68,993 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 68

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

1,2,4,17,34,68

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 67,68,993 . The biggest common factor number is the GCF number.
So the greatest common factor 67,68,993 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 96/67, 46/68, 204/993

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 96/67, 46/68, 204/993?

Answer: LCM of Numerators as per given numbers 96/67, 46/68, 204/993 is

LCM of Numerators i.e. for 96,46,204 is 37536

GCF of denominators i.e. for 67,68,993 is 1.

Thus, LCM of Fractions is 37536.Finally, LCM of Fractions for 96/67, 46/68, 204/993 is 37536.