Least Common Multiple of 488/453, 3204/4562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 488/453, 3204/4562 quickly i.e. 390888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 488/453, 3204/4562 is 390888.

LCM(488/453, 3204/4562) = 390888

LCM of 488/453, 3204/4562

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 488/453,3204/4562

Given numbers are 488/453,3204/4562

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 488,3204

Least Common Multiple of Numerators i.e. LCM of 488,3204 is 390888.

GCF of Denominators means GCF of 453,4562 as per the given fractions.

GCF of 453,4562 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 488,3204

LCM of Fractions 488/453,3204/4562 is 390888

2 488, 3204
2 244, 1602
122, 801

∴ So the LCM of the given numbers is 2 x 2 x 122 x 801 = 390888

Least Common Multiple of 488,3204 with GCF Formula

Least Common Multiple of 488,3204 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 488,3204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,3204) = 4

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

GCF(488,3204) x common factors =4 x 1 = 4

LCM(488,3204) = ( 488 × 3204 ) / 4

LCM(488,3204) = 1563552 / 4

LCM(488,3204) = 390888


Lets's calculate GCF of 453,4562

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 390888/1

Therefore the LCM of Fractions 488/453,3204/4562 is 390888

Greatest Common Factor of 453,4562 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,4562 By Matching Biggest Common Factor Method

Factors of 453

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

1,3,151,453

Factors of 4562

List of positive integer factors of 4562 that divides 4562 without a remainder.

1,2,2281,4562

Greatest Common Factor

We found the factors 453,4562 . The biggest common factor number is the GCF number.
So the greatest common factor 453,4562 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 488/453, 3204/4562

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 488/453, 3204/4562?

Answer: LCM of Numerators as per given numbers 488/453, 3204/4562 is

LCM of Numerators i.e. for 488,3204 is 390888

GCF of denominators i.e. for 453,4562 is 1.

Thus, LCM of Fractions is 390888.Finally, LCM of Fractions for 488/453, 3204/4562 is 390888.