Least Common Multiple of 78/42, 88/32, 90/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/42, 88/32, 90/598 quickly i.e. 25740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/42, 88/32, 90/598 is 25740.

LCM(78/42, 88/32, 90/598) = 25740

LCM of 78/42, 88/32, 90/598

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 78/42,88/32,90/598

Given numbers are 78/42,88/32,90/598

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 78,88,90

Least Common Multiple of Numerators i.e. LCM of 78,88,90 is 51480.

GCF of Denominators means GCF of 42,32,598 as per the given fractions.

GCF of 42,32,598 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,88,90

LCM of Fractions 78/42,88/32,90/598 is 25740

2 78, 88, 90
3 39, 44, 45
13, 44, 15

∴ So the LCM of the given numbers is 2 x 3 x 13 x 44 x 15 = 51480

Least Common Multiple of 78,88,90 with GCF Formula

Least Common Multiple of 78,88,90 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 78,88,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,88,90) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(78,88,90) x common factors =2 x 6 = 12

LCM(78,88,90) = ( 78 × 88 × 90 ) / 12

LCM(78,88,90) = 617760 / 12

LCM(78,88,90) = 51480


Lets's calculate GCF of 42,32,598

2 42, 32, 598
21, 16, 299

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51480/2

Therefore the LCM of Fractions 78/42,88/32,90/598 is 25740

Greatest Common Factor of 42,32,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,32,598 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 32

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

1,2,4,8,16,32

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 42,32,598 . The biggest common factor number is the GCF number.
So the greatest common factor 42,32,598 is 2.


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 78/42, 88/32, 90/598

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 78/42, 88/32, 90/598?

Answer: LCM of Numerators as per given numbers 78/42, 88/32, 90/598 is

LCM of Numerators i.e. for 78,88,90 is 51480

GCF of denominators i.e. for 42,32,598 is 2.

Thus, LCM of Fractions is 25740.Finally, LCM of Fractions for 78/42, 88/32, 90/598 is 25740.