Least Common Multiple of 531/931, 4809/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 531/931, 4809/214 quickly i.e. 851193 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 531/931, 4809/214 is 851193.

LCM(531/931, 4809/214) = 851193

LCM of 531/931, 4809/214

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 531/931,4809/214

Given numbers are 531/931,4809/214

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 531,4809

Least Common Multiple of Numerators i.e. LCM of 531,4809 is 851193.

GCF of Denominators means GCF of 931,214 as per the given fractions.

GCF of 931,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 531,4809

LCM of Fractions 531/931,4809/214 is 851193

3 531, 4809
177, 1603

∴ So the LCM of the given numbers is 3 x 177 x 1603 = 851193

Least Common Multiple of 531,4809 with GCF Formula

Least Common Multiple of 531,4809 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 531,4809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(531,4809) = 3

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

GCF(531,4809) x common factors =3 x 1 = 3

LCM(531,4809) = ( 531 × 4809 ) / 3

LCM(531,4809) = 2553579 / 3

LCM(531,4809) = 851193


Lets's calculate GCF of 931,214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 851193/1

Therefore the LCM of Fractions 531/931,4809/214 is 851193

Greatest Common Factor of 931,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 931,214 By Matching Biggest Common Factor Method

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

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 931,214 . The biggest common factor number is the GCF number.
So the greatest common factor 931,214 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 531/931, 4809/214

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 531/931, 4809/214?

Answer: LCM of Numerators as per given numbers 531/931, 4809/214 is

LCM of Numerators i.e. for 531,4809 is 851193

GCF of denominators i.e. for 931,214 is 1.

Thus, LCM of Fractions is 851193.Finally, LCM of Fractions for 531/931, 4809/214 is 851193.