Least Common Multiple of 540/16, 142/30, 340/24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 540/16, 142/30, 340/24 quickly i.e. 325890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 540/16, 142/30, 340/24 is 325890.

LCM(540/16, 142/30, 340/24) = 325890

LCM of 540/16, 142/30, 340/24

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 540/16,142/30,340/24

Given numbers are 540/16,142/30,340/24

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 540,142,340

Least Common Multiple of Numerators i.e. LCM of 540,142,340 is 651780.

GCF of Denominators means GCF of 16,30,24 as per the given fractions.

GCF of 16,30,24 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 540,142,340

LCM of Fractions 540/16,142/30,340/24 is 325890

2 540, 142, 340
2 270, 71, 170
5 135, 71, 85
27, 71, 17

∴ So the LCM of the given numbers is 2 x 2 x 5 x 27 x 71 x 17 = 651780

Least Common Multiple of 540,142,340 with GCF Formula

Least Common Multiple of 540,142,340 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 540,142,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,142,340) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(540,142,340) x common factors =2 x 20 = 40

LCM(540,142,340) = ( 540 × 142 × 340 ) / 40

LCM(540,142,340) = 26071200 / 40

LCM(540,142,340) = 651780


Lets's calculate GCF of 16,30,24

2 16, 30, 24
8, 15, 12

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 651780/2

Therefore the LCM of Fractions 540/16,142/30,340/24 is 325890

Greatest Common Factor of 16,30,24 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,30,24 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

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 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Greatest Common Factor

We found the factors 16,30,24 . The biggest common factor number is the GCF number.
So the greatest common factor 16,30,24 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 540/16, 142/30, 340/24

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 540/16, 142/30, 340/24?

Answer: LCM of Numerators as per given numbers 540/16, 142/30, 340/24 is

LCM of Numerators i.e. for 540,142,340 is 651780

GCF of denominators i.e. for 16,30,24 is 2.

Thus, LCM of Fractions is 325890.Finally, LCM of Fractions for 540/16, 142/30, 340/24 is 325890.