Least Common Multiple of 72/814, 23/216, 574/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/814, 23/216, 574/314 quickly i.e. 237636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/814, 23/216, 574/314 is 237636.

LCM(72/814, 23/216, 574/314) = 237636

LCM of 72/814, 23/216, 574/314

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 72/814,23/216,574/314

Given numbers are 72/814,23/216,574/314

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 72,23,574

Least Common Multiple of Numerators i.e. LCM of 72,23,574 is 475272.

GCF of Denominators means GCF of 814,216,314 as per the given fractions.

GCF of 814,216,314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,23,574

LCM of Fractions 72/814,23/216,574/314 is 237636

2 72, 23, 574
36, 23, 287

∴ So the LCM of the given numbers is 2 x 36 x 23 x 287 = 475272

Least Common Multiple of 72,23,574 with GCF Formula

Least Common Multiple of 72,23,574 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 72,23,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,23,574) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(72,23,574) x common factors =1 x 2 = 2

LCM(72,23,574) = ( 72 × 23 × 574 ) / 2

LCM(72,23,574) = 950544 / 2

LCM(72,23,574) = 475272


Lets's calculate GCF of 814,216,314

2 814, 216, 314
407, 108, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 475272/2

Therefore the LCM of Fractions 72/814,23/216,574/314 is 237636

Greatest Common Factor of 814,216,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,216,314 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 814,216,314 . The biggest common factor number is the GCF number.
So the greatest common factor 814,216,314 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 72/814, 23/216, 574/314

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 72/814, 23/216, 574/314?

Answer: LCM of Numerators as per given numbers 72/814, 23/216, 574/314 is

LCM of Numerators i.e. for 72,23,574 is 475272

GCF of denominators i.e. for 814,216,314 is 2.

Thus, LCM of Fractions is 237636.Finally, LCM of Fractions for 72/814, 23/216, 574/314 is 237636.