Least Common Multiple of 3/90, 5/92, 28/30, 78/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/90, 5/92, 28/30, 78/540 quickly i.e. 2730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/90, 5/92, 28/30, 78/540 is 2730.

LCM(3/90, 5/92, 28/30, 78/540) = 2730

LCM of 3/90, 5/92, 28/30, 78/540

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 3/90,5/92,28/30,78/540

Given numbers are 3/90,5/92,28/30,78/540

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 3,5,28,78

Least Common Multiple of Numerators i.e. LCM of 3,5,28,78 is 5460.

GCF of Denominators means GCF of 90,92,30,540 as per the given fractions.

GCF of 90,92,30,540 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,5,28,78

LCM of Fractions 3/90,5/92,28/30,78/540 is 2730

2 3, 5, 28, 78
3 3, 5, 14, 39
1, 5, 14, 13

∴ So the LCM of the given numbers is 2 x 3 x 1 x 5 x 14 x 13 = 5460

Least Common Multiple of 3,5,28,78 with GCF Formula

Least Common Multiple of 3,5,28,78 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 3,5,28,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,5,28,78) = 1

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

GCF(3,5,28,78) x common factors =1 x 6 = 6

LCM(3,5,28,78) = ( 3 × 5 × 28 × 78 ) / 6

LCM(3,5,28,78) = 32760 / 6

LCM(3,5,28,78) = 5460


Lets's calculate GCF of 90,92,30,540

2 90, 92, 30, 540
45, 46, 15, 270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5460/2

Therefore the LCM of Fractions 3/90,5/92,28/30,78/540 is 2730

Greatest Common Factor of 90,92,30,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,92,30,540 By Matching Biggest Common Factor Method

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 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 90,92,30,540 . The biggest common factor number is the GCF number.
So the greatest common factor 90,92,30,540 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 3/90, 5/92, 28/30, 78/540

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 3/90, 5/92, 28/30, 78/540?

Answer: LCM of Numerators as per given numbers 3/90, 5/92, 28/30, 78/540 is

LCM of Numerators i.e. for 3,5,28,78 is 5460

GCF of denominators i.e. for 90,92,30,540 is 2.

Thus, LCM of Fractions is 2730.Finally, LCM of Fractions for 3/90, 5/92, 28/30, 78/540 is 2730.