Least Common Multiple of 90/78, 68/90, 30/93, 40/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/78, 68/90, 30/93, 40/504 quickly i.e. 2040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/78, 68/90, 30/93, 40/504 is 2040.

LCM(90/78, 68/90, 30/93, 40/504) = 2040

LCM of 90/78, 68/90, 30/93, 40/504

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 90/78,68/90,30/93,40/504

Given numbers are 90/78,68/90,30/93,40/504

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 90,68,30,40

Least Common Multiple of Numerators i.e. LCM of 90,68,30,40 is 6120.

GCF of Denominators means GCF of 78,90,93,504 as per the given fractions.

GCF of 78,90,93,504 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,68,30,40

LCM of Fractions 90/78,68/90,30/93,40/504 is 2040

2 90, 68, 30, 40
2 45, 34, 15, 20
3 45, 17, 15, 10
5 5, 17, 15, 10
1, 17, 3, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 17 x 3 x 2 = 6120

Least Common Multiple of 90,68,30,40 with GCF Formula

Least Common Multiple of 90,68,30,40 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 90,68,30,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,68,30,40) = 2

common factors(in case of two or more numbers have common factors) = 600

GCF(90,68,30,40) x common factors =2 x 600 = 1200

LCM(90,68,30,40) = ( 90 × 68 × 30 × 40 ) / 1200

LCM(90,68,30,40) = 7344000 / 1200

LCM(90,68,30,40) = 6120


Lets's calculate GCF of 78,90,93,504

3 78, 90, 93, 504
26, 30, 31, 168

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6120/3

Therefore the LCM of Fractions 90/78,68/90,30/93,40/504 is 2040

Greatest Common Factor of 78,90,93,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,90,93,504 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

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 93

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

1,3,31,93

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 78,90,93,504 . The biggest common factor number is the GCF number.
So the greatest common factor 78,90,93,504 is 3.


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 90/78, 68/90, 30/93, 40/504

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 90/78, 68/90, 30/93, 40/504?

Answer: LCM of Numerators as per given numbers 90/78, 68/90, 30/93, 40/504 is

LCM of Numerators i.e. for 90,68,30,40 is 6120

GCF of denominators i.e. for 78,90,93,504 is 3.

Thus, LCM of Fractions is 2040.Finally, LCM of Fractions for 90/78, 68/90, 30/93, 40/504 is 2040.