Least Common Multiple of 165/301, 675/744, 145/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 165/301, 675/744, 145/621 quickly i.e. 215325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 165/301, 675/744, 145/621 is 215325.

LCM(165/301, 675/744, 145/621) = 215325

LCM of 165/301, 675/744, 145/621

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 165/301,675/744,145/621

Given numbers are 165/301,675/744,145/621

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 165,675,145

Least Common Multiple of Numerators i.e. LCM of 165,675,145 is 215325.

GCF of Denominators means GCF of 301,744,621 as per the given fractions.

GCF of 301,744,621 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 165,675,145

LCM of Fractions 165/301,675/744,145/621 is 215325

3 165, 675, 145
5 55, 225, 145
11, 45, 29

∴ So the LCM of the given numbers is 3 x 5 x 11 x 45 x 29 = 215325

Least Common Multiple of 165,675,145 with GCF Formula

Least Common Multiple of 165,675,145 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 165,675,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,675,145) = 5

common factors(in case of two or more numbers have common factors) = 15

GCF(165,675,145) x common factors =5 x 15 = 75

LCM(165,675,145) = ( 165 × 675 × 145 ) / 75

LCM(165,675,145) = 16149375 / 75

LCM(165,675,145) = 215325


Lets's calculate GCF of 301,744,621

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215325/1

Therefore the LCM of Fractions 165/301,675/744,145/621 is 215325

Greatest Common Factor of 301,744,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,744,621 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 301,744,621 . The biggest common factor number is the GCF number.
So the greatest common factor 301,744,621 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 165/301, 675/744, 145/621

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 165/301, 675/744, 145/621?

Answer: LCM of Numerators as per given numbers 165/301, 675/744, 145/621 is

LCM of Numerators i.e. for 165,675,145 is 215325

GCF of denominators i.e. for 301,744,621 is 1.

Thus, LCM of Fractions is 215325.Finally, LCM of Fractions for 165/301, 675/744, 145/621 is 215325.