Least Common Multiple of 39/214, 31/548, 368/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/214, 31/548, 368/531 quickly i.e. 444912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/214, 31/548, 368/531 is 444912.

LCM(39/214, 31/548, 368/531) = 444912

LCM of 39/214, 31/548, 368/531

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 39/214,31/548,368/531

Given numbers are 39/214,31/548,368/531

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 39,31,368

Least Common Multiple of Numerators i.e. LCM of 39,31,368 is 444912.

GCF of Denominators means GCF of 214,548,531 as per the given fractions.

GCF of 214,548,531 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,31,368

LCM of Fractions 39/214,31/548,368/531 is 444912

Given numbers has no common factors except 1. So, there LCM is their product i.e 444912

Least Common Multiple of 39,31,368 with GCF Formula

Least Common Multiple of 39,31,368 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 39,31,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,31,368) = 1

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

GCF(39,31,368) x common factors =1 x 1 = 1

LCM(39,31,368) = ( 39 × 31 × 368 ) / 1

LCM(39,31,368) = 444912 / 1

LCM(39,31,368) = 444912


Lets's calculate GCF of 214,548,531

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 444912/1

Therefore the LCM of Fractions 39/214,31/548,368/531 is 444912

Greatest Common Factor of 214,548,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,548,531 By Matching Biggest Common Factor Method

Factors of 214

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

1,2,107,214

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 214,548,531 . The biggest common factor number is the GCF number.
So the greatest common factor 214,548,531 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 39/214, 31/548, 368/531

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 39/214, 31/548, 368/531?

Answer: LCM of Numerators as per given numbers 39/214, 31/548, 368/531 is

LCM of Numerators i.e. for 39,31,368 is 444912

GCF of denominators i.e. for 214,548,531 is 1.

Thus, LCM of Fractions is 444912.Finally, LCM of Fractions for 39/214, 31/548, 368/531 is 444912.