Least Common Multiple of 216/37, 489/78, 437/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/37, 489/78, 437/214 quickly i.e. 15385896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/37, 489/78, 437/214 is 15385896.

LCM(216/37, 489/78, 437/214) = 15385896

LCM of 216/37, 489/78, 437/214

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 216/37,489/78,437/214

Given numbers are 216/37,489/78,437/214

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 216,489,437

Least Common Multiple of Numerators i.e. LCM of 216,489,437 is 15385896.

GCF of Denominators means GCF of 37,78,214 as per the given fractions.

GCF of 37,78,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,489,437

LCM of Fractions 216/37,489/78,437/214 is 15385896

3 216, 489, 437
72, 163, 437

∴ So the LCM of the given numbers is 3 x 72 x 163 x 437 = 15385896

Least Common Multiple of 216,489,437 with GCF Formula

Least Common Multiple of 216,489,437 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 216,489,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,489,437) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(216,489,437) x common factors =1 x 3 = 3

LCM(216,489,437) = ( 216 × 489 × 437 ) / 3

LCM(216,489,437) = 46157688 / 3

LCM(216,489,437) = 15385896


Lets's calculate GCF of 37,78,214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15385896/1

Therefore the LCM of Fractions 216/37,489/78,437/214 is 15385896

Greatest Common Factor of 37,78,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,78,214 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 37,78,214 . The biggest common factor number is the GCF number.
So the greatest common factor 37,78,214 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 216/37, 489/78, 437/214

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 216/37, 489/78, 437/214?

Answer: LCM of Numerators as per given numbers 216/37, 489/78, 437/214 is

LCM of Numerators i.e. for 216,489,437 is 15385896

GCF of denominators i.e. for 37,78,214 is 1.

Thus, LCM of Fractions is 15385896.Finally, LCM of Fractions for 216/37, 489/78, 437/214 is 15385896.