Least Common Multiple of 3149/345, 1443/453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3149/345, 1443/453 quickly i.e. 1514669 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3149/345, 1443/453 is 1514669.

LCM(3149/345, 1443/453) = 1514669

LCM of 3149/345, 1443/453

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 3149/345,1443/453

Given numbers are 3149/345,1443/453

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 3149,1443

Least Common Multiple of Numerators i.e. LCM of 3149,1443 is 4544007.

GCF of Denominators means GCF of 345,453 as per the given fractions.

GCF of 345,453 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3149,1443

LCM of Fractions 3149/345,1443/453 is 1514669

Given numbers has no common factors except 1. So, there LCM is their product i.e 4544007

Least Common Multiple of 3149,1443 with GCF Formula

Least Common Multiple of 3149,1443 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 3149,1443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3149,1443) = 1

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

GCF(3149,1443) x common factors =1 x 1 = 1

LCM(3149,1443) = ( 3149 × 1443 ) / 1

LCM(3149,1443) = 4544007 / 1

LCM(3149,1443) = 4544007


Lets's calculate GCF of 345,453

3 345, 453
115, 151

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4544007/3

Therefore the LCM of Fractions 3149/345,1443/453 is 1514669

Greatest Common Factor of 345,453 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,453 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Greatest Common Factor

We found the factors 345,453 . The biggest common factor number is the GCF number.
So the greatest common factor 345,453 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 3149/345, 1443/453

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 3149/345, 1443/453?

Answer: LCM of Numerators as per given numbers 3149/345, 1443/453 is

LCM of Numerators i.e. for 3149,1443 is 4544007

GCF of denominators i.e. for 345,453 is 3.

Thus, LCM of Fractions is 1514669.Finally, LCM of Fractions for 3149/345, 1443/453 is 1514669.