Least Common Multiple of 214/89, 396/92, 367/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/89, 396/92, 367/717 quickly i.e. 15550524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/89, 396/92, 367/717 is 15550524.

LCM(214/89, 396/92, 367/717) = 15550524

LCM of 214/89, 396/92, 367/717

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 214/89,396/92,367/717

Given numbers are 214/89,396/92,367/717

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 214,396,367

Least Common Multiple of Numerators i.e. LCM of 214,396,367 is 15550524.

GCF of Denominators means GCF of 89,92,717 as per the given fractions.

GCF of 89,92,717 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,396,367

LCM of Fractions 214/89,396/92,367/717 is 15550524

2 214, 396, 367
107, 198, 367

∴ So the LCM of the given numbers is 2 x 107 x 198 x 367 = 15550524

Least Common Multiple of 214,396,367 with GCF Formula

Least Common Multiple of 214,396,367 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 214,396,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,396,367) = 1

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

GCF(214,396,367) x common factors =1 x 2 = 2

LCM(214,396,367) = ( 214 × 396 × 367 ) / 2

LCM(214,396,367) = 31101048 / 2

LCM(214,396,367) = 15550524


Lets's calculate GCF of 89,92,717

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15550524/1

Therefore the LCM of Fractions 214/89,396/92,367/717 is 15550524

Greatest Common Factor of 89,92,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,92,717 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 92

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

1,2,4,23,46,92

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Greatest Common Factor

We found the factors 89,92,717 . The biggest common factor number is the GCF number.
So the greatest common factor 89,92,717 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 214/89, 396/92, 367/717

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 214/89, 396/92, 367/717?

Answer: LCM of Numerators as per given numbers 214/89, 396/92, 367/717 is

LCM of Numerators i.e. for 214,396,367 is 15550524

GCF of denominators i.e. for 89,92,717 is 1.

Thus, LCM of Fractions is 15550524.Finally, LCM of Fractions for 214/89, 396/92, 367/717 is 15550524.