Least Common Multiple of 484/281, 461/446, 760/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 484/281, 461/446, 760/835 quickly i.e. 42393560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 484/281, 461/446, 760/835 is 42393560.

LCM(484/281, 461/446, 760/835) = 42393560

LCM of 484/281, 461/446, 760/835

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 484/281,461/446,760/835

Given numbers are 484/281,461/446,760/835

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 484,461,760

Least Common Multiple of Numerators i.e. LCM of 484,461,760 is 42393560.

GCF of Denominators means GCF of 281,446,835 as per the given fractions.

GCF of 281,446,835 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 484,461,760

LCM of Fractions 484/281,461/446,760/835 is 42393560

2 484, 461, 760
2 242, 461, 380
121, 461, 190

∴ So the LCM of the given numbers is 2 x 2 x 121 x 461 x 190 = 42393560

Least Common Multiple of 484,461,760 with GCF Formula

Least Common Multiple of 484,461,760 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 484,461,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,461,760) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(484,461,760) x common factors =1 x 4 = 4

LCM(484,461,760) = ( 484 × 461 × 760 ) / 4

LCM(484,461,760) = 169574240 / 4

LCM(484,461,760) = 42393560


Lets's calculate GCF of 281,446,835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42393560/1

Therefore the LCM of Fractions 484/281,461/446,760/835 is 42393560

Greatest Common Factor of 281,446,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 281,446,835 By Matching Biggest Common Factor Method

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 281,446,835 . The biggest common factor number is the GCF number.
So the greatest common factor 281,446,835 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 484/281, 461/446, 760/835

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 484/281, 461/446, 760/835?

Answer: LCM of Numerators as per given numbers 484/281, 461/446, 760/835 is

LCM of Numerators i.e. for 484,461,760 is 42393560

GCF of denominators i.e. for 281,446,835 is 1.

Thus, LCM of Fractions is 42393560.Finally, LCM of Fractions for 484/281, 461/446, 760/835 is 42393560.