Least Common Multiple of 480/225, 2546/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/225, 2546/462 quickly i.e. 203680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/225, 2546/462 is 203680.

LCM(480/225, 2546/462) = 203680

LCM of 480/225, 2546/462

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 480/225,2546/462

Given numbers are 480/225,2546/462

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 480,2546

Least Common Multiple of Numerators i.e. LCM of 480,2546 is 611040.

GCF of Denominators means GCF of 225,462 as per the given fractions.

GCF of 225,462 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,2546

LCM of Fractions 480/225,2546/462 is 203680

2 480, 2546
240, 1273

∴ So the LCM of the given numbers is 2 x 240 x 1273 = 611040

Least Common Multiple of 480,2546 with GCF Formula

Least Common Multiple of 480,2546 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 480,2546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,2546) = 2

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

GCF(480,2546) x common factors =2 x 1 = 2

LCM(480,2546) = ( 480 × 2546 ) / 2

LCM(480,2546) = 1222080 / 2

LCM(480,2546) = 611040


Lets's calculate GCF of 225,462

3 225, 462
75, 154

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 611040/3

Therefore the LCM of Fractions 480/225,2546/462 is 203680

Greatest Common Factor of 225,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,462 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 225,462 . The biggest common factor number is the GCF number.
So the greatest common factor 225,462 is 3.


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 480/225, 2546/462

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 480/225, 2546/462?

Answer: LCM of Numerators as per given numbers 480/225, 2546/462 is

LCM of Numerators i.e. for 480,2546 is 611040

GCF of denominators i.e. for 225,462 is 3.

Thus, LCM of Fractions is 203680.Finally, LCM of Fractions for 480/225, 2546/462 is 203680.