Least Common Multiple of 673/307, 1231/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 673/307, 1231/522 quickly i.e. 828463 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 673/307, 1231/522 is 828463.

LCM(673/307, 1231/522) = 828463

LCM of 673/307, 1231/522

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 673/307,1231/522

Given numbers are 673/307,1231/522

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 673,1231

Least Common Multiple of Numerators i.e. LCM of 673,1231 is 828463.

GCF of Denominators means GCF of 307,522 as per the given fractions.

GCF of 307,522 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 673,1231

LCM of Fractions 673/307,1231/522 is 828463

Given numbers has no common factors except 1. So, there LCM is their product i.e 828463

Least Common Multiple of 673,1231 with GCF Formula

Least Common Multiple of 673,1231 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 673,1231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(673,1231) = 1

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

GCF(673,1231) x common factors =1 x 1 = 1

LCM(673,1231) = ( 673 × 1231 ) / 1

LCM(673,1231) = 828463 / 1

LCM(673,1231) = 828463


Lets's calculate GCF of 307,522

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 828463/1

Therefore the LCM of Fractions 673/307,1231/522 is 828463

Greatest Common Factor of 307,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,522 By Matching Biggest Common Factor Method

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 307,522 . The biggest common factor number is the GCF number.
So the greatest common factor 307,522 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 673/307, 1231/522

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 673/307, 1231/522?

Answer: LCM of Numerators as per given numbers 673/307, 1231/522 is

LCM of Numerators i.e. for 673,1231 is 828463

GCF of denominators i.e. for 307,522 is 1.

Thus, LCM of Fractions is 828463.Finally, LCM of Fractions for 673/307, 1231/522 is 828463.