Least Common Multiple of 8283/452, 3399/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8283/452, 3399/104 quickly i.e. 853149/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8283/452, 3399/104 is 853149/4.

LCM(8283/452, 3399/104) = 853149/4

LCM of 8283/452, 3399/104

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 8283/452,3399/104

Given numbers are 8283/452,3399/104

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 8283,3399

Least Common Multiple of Numerators i.e. LCM of 8283,3399 is 853149.

GCF of Denominators means GCF of 452,104 as per the given fractions.

GCF of 452,104 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8283,3399

LCM of Fractions 8283/452,3399/104 is 853149/4

3 8283, 3399
11 2761, 1133
251, 103

∴ So the LCM of the given numbers is 3 x 11 x 251 x 103 = 853149

Least Common Multiple of 8283,3399 with GCF Formula

Least Common Multiple of 8283,3399 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 8283,3399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8283,3399) = 33

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

GCF(8283,3399) x common factors =33 x 1 = 33

LCM(8283,3399) = ( 8283 × 3399 ) / 33

LCM(8283,3399) = 28153917 / 33

LCM(8283,3399) = 853149


Lets's calculate GCF of 452,104

2 452, 104
2 226, 52
113, 26

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 853149/4

Therefore the LCM of Fractions 8283/452,3399/104 is 853149/4

Greatest Common Factor of 452,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,104 By Matching Biggest Common Factor Method

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 452,104 . The biggest common factor number is the GCF number.
So the greatest common factor 452,104 is 4.


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 8283/452, 3399/104

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 8283/452, 3399/104?

Answer: LCM of Numerators as per given numbers 8283/452, 3399/104 is

LCM of Numerators i.e. for 8283,3399 is 853149

GCF of denominators i.e. for 452,104 is 4.

Thus, LCM of Fractions is 853149/4.Finally, LCM of Fractions for 8283/452, 3399/104 is 853149/4.