Least Common Multiple of 54/33, 40/96, 98/32, 78/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/33, 40/96, 98/32, 78/585 quickly i.e. 687960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/33, 40/96, 98/32, 78/585 is 687960.

LCM(54/33, 40/96, 98/32, 78/585) = 687960

LCM of 54/33, 40/96, 98/32, 78/585

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 54/33,40/96,98/32,78/585

Given numbers are 54/33,40/96,98/32,78/585

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 54,40,98,78

Least Common Multiple of Numerators i.e. LCM of 54,40,98,78 is 687960.

GCF of Denominators means GCF of 33,96,32,585 as per the given fractions.

GCF of 33,96,32,585 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,40,98,78

LCM of Fractions 54/33,40/96,98/32,78/585 is 687960

2 54, 40, 98, 78
3 27, 20, 49, 39
9, 20, 49, 13

∴ So the LCM of the given numbers is 2 x 3 x 9 x 20 x 49 x 13 = 687960

Least Common Multiple of 54,40,98,78 with GCF Formula

Least Common Multiple of 54,40,98,78 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 54,40,98,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,40,98,78) = 2

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

GCF(54,40,98,78) x common factors =2 x 12 = 24

LCM(54,40,98,78) = ( 54 × 40 × 98 × 78 ) / 24

LCM(54,40,98,78) = 16511040 / 24

LCM(54,40,98,78) = 687960


Lets's calculate GCF of 33,96,32,585

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 687960/1

Therefore the LCM of Fractions 54/33,40/96,98/32,78/585 is 687960

Greatest Common Factor of 33,96,32,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,96,32,585 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

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 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 33,96,32,585 . The biggest common factor number is the GCF number.
So the greatest common factor 33,96,32,585 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 54/33, 40/96, 98/32, 78/585

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 54/33, 40/96, 98/32, 78/585?

Answer: LCM of Numerators as per given numbers 54/33, 40/96, 98/32, 78/585 is

LCM of Numerators i.e. for 54,40,98,78 is 687960

GCF of denominators i.e. for 33,96,32,585 is 1.

Thus, LCM of Fractions is 687960.Finally, LCM of Fractions for 54/33, 40/96, 98/32, 78/585 is 687960.