Least Common Multiple of 4283/74, 7243/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4283/74, 7243/209 quickly i.e. 31021769 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4283/74, 7243/209 is 31021769.

LCM(4283/74, 7243/209) = 31021769

LCM of 4283/74, 7243/209

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 4283/74,7243/209

Given numbers are 4283/74,7243/209

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 4283,7243

Least Common Multiple of Numerators i.e. LCM of 4283,7243 is 31021769.

GCF of Denominators means GCF of 74,209 as per the given fractions.

GCF of 74,209 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4283,7243

LCM of Fractions 4283/74,7243/209 is 31021769

Given numbers has no common factors except 1. So, there LCM is their product i.e 31021769

Least Common Multiple of 4283,7243 with GCF Formula

Least Common Multiple of 4283,7243 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 4283,7243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4283,7243) = 1

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

GCF(4283,7243) x common factors =1 x 1 = 1

LCM(4283,7243) = ( 4283 × 7243 ) / 1

LCM(4283,7243) = 31021769 / 1

LCM(4283,7243) = 31021769


Lets's calculate GCF of 74,209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31021769/1

Therefore the LCM of Fractions 4283/74,7243/209 is 31021769

Greatest Common Factor of 74,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,209 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 74,209 . The biggest common factor number is the GCF number.
So the greatest common factor 74,209 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 4283/74, 7243/209

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 4283/74, 7243/209?

Answer: LCM of Numerators as per given numbers 4283/74, 7243/209 is

LCM of Numerators i.e. for 4283,7243 is 31021769

GCF of denominators i.e. for 74,209 is 1.

Thus, LCM of Fractions is 31021769.Finally, LCM of Fractions for 4283/74, 7243/209 is 31021769.