Least Common Multiple of 341/135, 648/450, 535/453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 341/135, 648/450, 535/453 quickly i.e. 39405960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 341/135, 648/450, 535/453 is 39405960.

LCM(341/135, 648/450, 535/453) = 39405960

LCM of 341/135, 648/450, 535/453

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 341/135,648/450,535/453

Given numbers are 341/135,648/450,535/453

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 341,648,535

Least Common Multiple of Numerators i.e. LCM of 341,648,535 is 118217880.

GCF of Denominators means GCF of 135,450,453 as per the given fractions.

GCF of 135,450,453 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 341,648,535

LCM of Fractions 341/135,648/450,535/453 is 39405960

Given numbers has no common factors except 1. So, there LCM is their product i.e 118217880

Least Common Multiple of 341,648,535 with GCF Formula

Least Common Multiple of 341,648,535 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 341,648,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,648,535) = 1

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

GCF(341,648,535) x common factors =1 x 1 = 1

LCM(341,648,535) = ( 341 × 648 × 535 ) / 1

LCM(341,648,535) = 118217880 / 1

LCM(341,648,535) = 118217880


Lets's calculate GCF of 135,450,453

3 135, 450, 453
45, 150, 151

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118217880/3

Therefore the LCM of Fractions 341/135,648/450,535/453 is 39405960

Greatest Common Factor of 135,450,453 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,450,453 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

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 135,450,453 . The biggest common factor number is the GCF number.
So the greatest common factor 135,450,453 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 341/135, 648/450, 535/453

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 341/135, 648/450, 535/453?

Answer: LCM of Numerators as per given numbers 341/135, 648/450, 535/453 is

LCM of Numerators i.e. for 341,648,535 is 118217880

GCF of denominators i.e. for 135,450,453 is 3.

Thus, LCM of Fractions is 39405960.Finally, LCM of Fractions for 341/135, 648/450, 535/453 is 39405960.