Least Common Multiple of 212/544, 859/578, 237/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 212/544, 859/578, 237/388 quickly i.e. 21579798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 212/544, 859/578, 237/388 is 21579798.

LCM(212/544, 859/578, 237/388) = 21579798

LCM of 212/544, 859/578, 237/388

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 212/544,859/578,237/388

Given numbers are 212/544,859/578,237/388

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 212,859,237

Least Common Multiple of Numerators i.e. LCM of 212,859,237 is 43159596.

GCF of Denominators means GCF of 544,578,388 as per the given fractions.

GCF of 544,578,388 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 212,859,237

LCM of Fractions 212/544,859/578,237/388 is 21579798

Given numbers has no common factors except 1. So, there LCM is their product i.e 43159596

Least Common Multiple of 212,859,237 with GCF Formula

Least Common Multiple of 212,859,237 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 212,859,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,859,237) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(212,859,237) x common factors =1 x 1 = 1

LCM(212,859,237) = ( 212 × 859 × 237 ) / 1

LCM(212,859,237) = 43159596 / 1

LCM(212,859,237) = 43159596


Lets's calculate GCF of 544,578,388

2 544, 578, 388
272, 289, 194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43159596/2

Therefore the LCM of Fractions 212/544,859/578,237/388 is 21579798

Greatest Common Factor of 544,578,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,578,388 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 544,578,388 . The biggest common factor number is the GCF number.
So the greatest common factor 544,578,388 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 212/544, 859/578, 237/388

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 212/544, 859/578, 237/388?

Answer: LCM of Numerators as per given numbers 212/544, 859/578, 237/388 is

LCM of Numerators i.e. for 212,859,237 is 43159596

GCF of denominators i.e. for 544,578,388 is 2.

Thus, LCM of Fractions is 21579798.Finally, LCM of Fractions for 212/544, 859/578, 237/388 is 21579798.