Least Common Multiple of 3461/48, 8385/453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3461/48, 8385/453 quickly i.e. 9673495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3461/48, 8385/453 is 9673495.

LCM(3461/48, 8385/453) = 9673495

LCM of 3461/48, 8385/453

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 3461/48,8385/453

Given numbers are 3461/48,8385/453

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 3461,8385

Least Common Multiple of Numerators i.e. LCM of 3461,8385 is 29020485.

GCF of Denominators means GCF of 48,453 as per the given fractions.

GCF of 48,453 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3461,8385

LCM of Fractions 3461/48,8385/453 is 9673495

Given numbers has no common factors except 1. So, there LCM is their product i.e 29020485

Least Common Multiple of 3461,8385 with GCF Formula

Least Common Multiple of 3461,8385 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 3461,8385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3461,8385) = 1

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

GCF(3461,8385) x common factors =1 x 1 = 1

LCM(3461,8385) = ( 3461 × 8385 ) / 1

LCM(3461,8385) = 29020485 / 1

LCM(3461,8385) = 29020485


Lets's calculate GCF of 48,453

3 48, 453
16, 151

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29020485/3

Therefore the LCM of Fractions 3461/48,8385/453 is 9673495

Greatest Common Factor of 48,453 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,453 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 453

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

1,3,151,453

Greatest Common Factor

We found the factors 48,453 . The biggest common factor number is the GCF number.
So the greatest common factor 48,453 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 3461/48, 8385/453

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 3461/48, 8385/453?

Answer: LCM of Numerators as per given numbers 3461/48, 8385/453 is

LCM of Numerators i.e. for 3461,8385 is 29020485

GCF of denominators i.e. for 48,453 is 3.

Thus, LCM of Fractions is 9673495.Finally, LCM of Fractions for 3461/48, 8385/453 is 9673495.