Least Common Multiple of 808/59, 460/42, 306/72

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 808/59, 460/42, 306/72 quickly i.e. 14216760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 808/59, 460/42, 306/72 is 14216760.

LCM(808/59, 460/42, 306/72) = 14216760

LCM of 808/59, 460/42, 306/72

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 808/59,460/42,306/72

Given numbers are 808/59,460/42,306/72

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 808,460,306

Least Common Multiple of Numerators i.e. LCM of 808,460,306 is 14216760.

GCF of Denominators means GCF of 59,42,72 as per the given fractions.

GCF of 59,42,72 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 808,460,306

LCM of Fractions 808/59,460/42,306/72 is 14216760

2 808, 460, 306
2 404, 230, 153
202, 115, 153

∴ So the LCM of the given numbers is 2 x 2 x 202 x 115 x 153 = 14216760

Least Common Multiple of 808,460,306 with GCF Formula

Least Common Multiple of 808,460,306 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 808,460,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,460,306) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(808,460,306) x common factors =2 x 4 = 8

LCM(808,460,306) = ( 808 × 460 × 306 ) / 8

LCM(808,460,306) = 113734080 / 8

LCM(808,460,306) = 14216760


Lets's calculate GCF of 59,42,72

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14216760/1

Therefore the LCM of Fractions 808/59,460/42,306/72 is 14216760

Greatest Common Factor of 59,42,72 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,42,72 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Greatest Common Factor

We found the factors 59,42,72 . The biggest common factor number is the GCF number.
So the greatest common factor 59,42,72 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 808/59, 460/42, 306/72

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 808/59, 460/42, 306/72?

Answer: LCM of Numerators as per given numbers 808/59, 460/42, 306/72 is

LCM of Numerators i.e. for 808,460,306 is 14216760

GCF of denominators i.e. for 59,42,72 is 1.

Thus, LCM of Fractions is 14216760.Finally, LCM of Fractions for 808/59, 460/42, 306/72 is 14216760.