Least Common Multiple of 443/259, 3213/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 443/259, 3213/154 quickly i.e. 203337 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 443/259, 3213/154 is 203337.

LCM(443/259, 3213/154) = 203337

LCM of 443/259, 3213/154

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 443/259,3213/154

Given numbers are 443/259,3213/154

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 443,3213

Least Common Multiple of Numerators i.e. LCM of 443,3213 is 1423359.

GCF of Denominators means GCF of 259,154 as per the given fractions.

GCF of 259,154 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 443,3213

LCM of Fractions 443/259,3213/154 is 203337

Given numbers has no common factors except 1. So, there LCM is their product i.e 1423359

Least Common Multiple of 443,3213 with GCF Formula

Least Common Multiple of 443,3213 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 443,3213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(443,3213) = 1

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

GCF(443,3213) x common factors =1 x 1 = 1

LCM(443,3213) = ( 443 × 3213 ) / 1

LCM(443,3213) = 1423359 / 1

LCM(443,3213) = 1423359


Lets's calculate GCF of 259,154

7 259, 154
37, 22

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1423359/7

Therefore the LCM of Fractions 443/259,3213/154 is 203337

Greatest Common Factor of 259,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 259,154 By Matching Biggest Common Factor Method

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 259,154 . The biggest common factor number is the GCF number.
So the greatest common factor 259,154 is 7.


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 443/259, 3213/154

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 443/259, 3213/154?

Answer: LCM of Numerators as per given numbers 443/259, 3213/154 is

LCM of Numerators i.e. for 443,3213 is 1423359

GCF of denominators i.e. for 259,154 is 7.

Thus, LCM of Fractions is 203337.Finally, LCM of Fractions for 443/259, 3213/154 is 203337.