Least Common Multiple of 312/53, 673/6506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/53, 673/6506 quickly i.e. 209976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/53, 673/6506 is 209976.

LCM(312/53, 673/6506) = 209976

LCM of 312/53, 673/6506

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 312/53,673/6506

Given numbers are 312/53,673/6506

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 312,673

Least Common Multiple of Numerators i.e. LCM of 312,673 is 209976.

GCF of Denominators means GCF of 53,6506 as per the given fractions.

GCF of 53,6506 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,673

LCM of Fractions 312/53,673/6506 is 209976

Given numbers has no common factors except 1. So, there LCM is their product i.e 209976

Least Common Multiple of 312,673 with GCF Formula

Least Common Multiple of 312,673 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 312,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,673) = 1

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

GCF(312,673) x common factors =1 x 1 = 1

LCM(312,673) = ( 312 × 673 ) / 1

LCM(312,673) = 209976 / 1

LCM(312,673) = 209976


Lets's calculate GCF of 53,6506

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209976/1

Therefore the LCM of Fractions 312/53,673/6506 is 209976

Greatest Common Factor of 53,6506 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,6506 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 6506

List of positive integer factors of 6506 that divides 6506 without a remainder.

1,2,3253,6506

Greatest Common Factor

We found the factors 53,6506 . The biggest common factor number is the GCF number.
So the greatest common factor 53,6506 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 312/53, 673/6506

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 312/53, 673/6506?

Answer: LCM of Numerators as per given numbers 312/53, 673/6506 is

LCM of Numerators i.e. for 312,673 is 209976

GCF of denominators i.e. for 53,6506 is 1.

Thus, LCM of Fractions is 209976.Finally, LCM of Fractions for 312/53, 673/6506 is 209976.