Least Common Multiple of 48/460, 8635/4601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/460, 8635/4601 quickly i.e. 414480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/460, 8635/4601 is 414480.

LCM(48/460, 8635/4601) = 414480

LCM of 48/460, 8635/4601

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 48/460,8635/4601

Given numbers are 48/460,8635/4601

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 48,8635

Least Common Multiple of Numerators i.e. LCM of 48,8635 is 414480.

GCF of Denominators means GCF of 460,4601 as per the given fractions.

GCF of 460,4601 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,8635

LCM of Fractions 48/460,8635/4601 is 414480

Given numbers has no common factors except 1. So, there LCM is their product i.e 414480

Least Common Multiple of 48,8635 with GCF Formula

Least Common Multiple of 48,8635 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 48,8635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,8635) = 1

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

GCF(48,8635) x common factors =1 x 1 = 1

LCM(48,8635) = ( 48 × 8635 ) / 1

LCM(48,8635) = 414480 / 1

LCM(48,8635) = 414480


Lets's calculate GCF of 460,4601

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414480/1

Therefore the LCM of Fractions 48/460,8635/4601 is 414480

Greatest Common Factor of 460,4601 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,4601 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 4601

List of positive integer factors of 4601 that divides 4601 without a remainder.

1,43,107,4601

Greatest Common Factor

We found the factors 460,4601 . The biggest common factor number is the GCF number.
So the greatest common factor 460,4601 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 48/460, 8635/4601

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 48/460, 8635/4601?

Answer: LCM of Numerators as per given numbers 48/460, 8635/4601 is

LCM of Numerators i.e. for 48,8635 is 414480

GCF of denominators i.e. for 460,4601 is 1.

Thus, LCM of Fractions is 414480.Finally, LCM of Fractions for 48/460, 8635/4601 is 414480.