Least Common Multiple of 45/46, 69/30, 642/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/46, 69/30, 642/75 quickly i.e. 221490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/46, 69/30, 642/75 is 221490.

LCM(45/46, 69/30, 642/75) = 221490

LCM of 45/46, 69/30, 642/75

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 45/46,69/30,642/75

Given numbers are 45/46,69/30,642/75

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 45,69,642

Least Common Multiple of Numerators i.e. LCM of 45,69,642 is 221490.

GCF of Denominators means GCF of 46,30,75 as per the given fractions.

GCF of 46,30,75 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,69,642

LCM of Fractions 45/46,69/30,642/75 is 221490

3 45, 69, 642
15, 23, 214

∴ So the LCM of the given numbers is 3 x 15 x 23 x 214 = 221490

Least Common Multiple of 45,69,642 with GCF Formula

Least Common Multiple of 45,69,642 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 45,69,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,69,642) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(45,69,642) x common factors =3 x 3 = 9

LCM(45,69,642) = ( 45 × 69 × 642 ) / 9

LCM(45,69,642) = 1993410 / 9

LCM(45,69,642) = 221490


Lets's calculate GCF of 46,30,75

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221490/1

Therefore the LCM of Fractions 45/46,69/30,642/75 is 221490

Greatest Common Factor of 46,30,75 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,30,75 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Greatest Common Factor

We found the factors 46,30,75 . The biggest common factor number is the GCF number.
So the greatest common factor 46,30,75 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 45/46, 69/30, 642/75

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 45/46, 69/30, 642/75?

Answer: LCM of Numerators as per given numbers 45/46, 69/30, 642/75 is

LCM of Numerators i.e. for 45,69,642 is 221490

GCF of denominators i.e. for 46,30,75 is 1.

Thus, LCM of Fractions is 221490.Finally, LCM of Fractions for 45/46, 69/30, 642/75 is 221490.