Least Common Multiple of 397/14, 220/25, 540/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 397/14, 220/25, 540/864 quickly i.e. 2358180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 397/14, 220/25, 540/864 is 2358180.

LCM(397/14, 220/25, 540/864) = 2358180

LCM of 397/14, 220/25, 540/864

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 397/14,220/25,540/864

Given numbers are 397/14,220/25,540/864

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 397,220,540

Least Common Multiple of Numerators i.e. LCM of 397,220,540 is 2358180.

GCF of Denominators means GCF of 14,25,864 as per the given fractions.

GCF of 14,25,864 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 397,220,540

LCM of Fractions 397/14,220/25,540/864 is 2358180

2 397, 220, 540
2 397, 110, 270
5 397, 55, 135
397, 11, 27

∴ So the LCM of the given numbers is 2 x 2 x 5 x 397 x 11 x 27 = 2358180

Least Common Multiple of 397,220,540 with GCF Formula

Least Common Multiple of 397,220,540 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 397,220,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,220,540) = 1

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

GCF(397,220,540) x common factors =1 x 20 = 20

LCM(397,220,540) = ( 397 × 220 × 540 ) / 20

LCM(397,220,540) = 47163600 / 20

LCM(397,220,540) = 2358180


Lets's calculate GCF of 14,25,864

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2358180/1

Therefore the LCM of Fractions 397/14,220/25,540/864 is 2358180

Greatest Common Factor of 14,25,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,25,864 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 14,25,864 . The biggest common factor number is the GCF number.
So the greatest common factor 14,25,864 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 397/14, 220/25, 540/864

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 397/14, 220/25, 540/864?

Answer: LCM of Numerators as per given numbers 397/14, 220/25, 540/864 is

LCM of Numerators i.e. for 397,220,540 is 2358180

GCF of denominators i.e. for 14,25,864 is 1.

Thus, LCM of Fractions is 2358180.Finally, LCM of Fractions for 397/14, 220/25, 540/864 is 2358180.