Least Common Multiple of 3209/158, 4675/3973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3209/158, 4675/3973 quickly i.e. 15002075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3209/158, 4675/3973 is 15002075.

LCM(3209/158, 4675/3973) = 15002075

LCM of 3209/158, 4675/3973

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 3209/158,4675/3973

Given numbers are 3209/158,4675/3973

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 3209,4675

Least Common Multiple of Numerators i.e. LCM of 3209,4675 is 15002075.

GCF of Denominators means GCF of 158,3973 as per the given fractions.

GCF of 158,3973 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3209,4675

LCM of Fractions 3209/158,4675/3973 is 15002075

Given numbers has no common factors except 1. So, there LCM is their product i.e 15002075

Least Common Multiple of 3209,4675 with GCF Formula

Least Common Multiple of 3209,4675 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 3209,4675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3209,4675) = 1

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

GCF(3209,4675) x common factors =1 x 1 = 1

LCM(3209,4675) = ( 3209 × 4675 ) / 1

LCM(3209,4675) = 15002075 / 1

LCM(3209,4675) = 15002075


Lets's calculate GCF of 158,3973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15002075/1

Therefore the LCM of Fractions 3209/158,4675/3973 is 15002075

Greatest Common Factor of 158,3973 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,3973 By Matching Biggest Common Factor Method

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 3973

List of positive integer factors of 3973 that divides 3973 without a remainder.

1,29,137,3973

Greatest Common Factor

We found the factors 158,3973 . The biggest common factor number is the GCF number.
So the greatest common factor 158,3973 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 3209/158, 4675/3973

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 3209/158, 4675/3973?

Answer: LCM of Numerators as per given numbers 3209/158, 4675/3973 is

LCM of Numerators i.e. for 3209,4675 is 15002075

GCF of denominators i.e. for 158,3973 is 1.

Thus, LCM of Fractions is 15002075.Finally, LCM of Fractions for 3209/158, 4675/3973 is 15002075.