Least Common Multiple of 30/93, 84/54, 32/89, 32/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/93, 84/54, 32/89, 32/494 quickly i.e. 3360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/93, 84/54, 32/89, 32/494 is 3360.

LCM(30/93, 84/54, 32/89, 32/494) = 3360

LCM of 30/93, 84/54, 32/89, 32/494

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 30/93,84/54,32/89,32/494

Given numbers are 30/93,84/54,32/89,32/494

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 30,84,32,32

Least Common Multiple of Numerators i.e. LCM of 30,84,32,32 is 3360.

GCF of Denominators means GCF of 93,54,89,494 as per the given fractions.

GCF of 93,54,89,494 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,84,32,32

LCM of Fractions 30/93,84/54,32/89,32/494 is 3360

2 30, 84, 32, 32
2 15, 42, 16, 16
2 15, 21, 8, 8
2 15, 21, 4, 4
2 15, 21, 2, 2
3 15, 21, 1, 1
5, 7, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 1 x 1 = 3360

Least Common Multiple of 30,84,32,32 with GCF Formula

Least Common Multiple of 30,84,32,32 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 30,84,32,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,84,32,32) = 2

common factors(in case of two or more numbers have common factors) = 384

GCF(30,84,32,32) x common factors =2 x 384 = 768

LCM(30,84,32,32) = ( 30 × 84 × 32 × 32 ) / 768

LCM(30,84,32,32) = 2580480 / 768

LCM(30,84,32,32) = 3360


Lets's calculate GCF of 93,54,89,494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3360/1

Therefore the LCM of Fractions 30/93,84/54,32/89,32/494 is 3360

Greatest Common Factor of 93,54,89,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,54,89,494 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 93,54,89,494 . The biggest common factor number is the GCF number.
So the greatest common factor 93,54,89,494 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 30/93, 84/54, 32/89, 32/494

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 30/93, 84/54, 32/89, 32/494?

Answer: LCM of Numerators as per given numbers 30/93, 84/54, 32/89, 32/494 is

LCM of Numerators i.e. for 30,84,32,32 is 3360

GCF of denominators i.e. for 93,54,89,494 is 1.

Thus, LCM of Fractions is 3360.Finally, LCM of Fractions for 30/93, 84/54, 32/89, 32/494 is 3360.