Least Common Multiple of 1219/321, 1672/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1219/321, 1672/807 quickly i.e. 2038168/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1219/321, 1672/807 is 2038168/3.

LCM(1219/321, 1672/807) = 2038168/3

LCM of 1219/321, 1672/807

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 1219/321,1672/807

Given numbers are 1219/321,1672/807

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 1219,1672

Least Common Multiple of Numerators i.e. LCM of 1219,1672 is 2038168.

GCF of Denominators means GCF of 321,807 as per the given fractions.

GCF of 321,807 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1219,1672

LCM of Fractions 1219/321,1672/807 is 2038168/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 2038168

Least Common Multiple of 1219,1672 with GCF Formula

Least Common Multiple of 1219,1672 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 1219,1672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1219,1672) = 1

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

GCF(1219,1672) x common factors =1 x 1 = 1

LCM(1219,1672) = ( 1219 × 1672 ) / 1

LCM(1219,1672) = 2038168 / 1

LCM(1219,1672) = 2038168


Lets's calculate GCF of 321,807

3 321, 807
107, 269

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2038168/3

Therefore the LCM of Fractions 1219/321,1672/807 is 2038168/3

Greatest Common Factor of 321,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,807 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 321,807 . The biggest common factor number is the GCF number.
So the greatest common factor 321,807 is 3.


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 1219/321, 1672/807

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 1219/321, 1672/807?

Answer: LCM of Numerators as per given numbers 1219/321, 1672/807 is

LCM of Numerators i.e. for 1219,1672 is 2038168

GCF of denominators i.e. for 321,807 is 3.

Thus, LCM of Fractions is 2038168/3.Finally, LCM of Fractions for 1219/321, 1672/807 is 2038168/3.