Least Common Multiple of 330/90, 207/56, 642/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 330/90, 207/56, 642/743 quickly i.e. 2436390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 330/90, 207/56, 642/743 is 2436390.

LCM(330/90, 207/56, 642/743) = 2436390

LCM of 330/90, 207/56, 642/743

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 330/90,207/56,642/743

Given numbers are 330/90,207/56,642/743

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 330,207,642

Least Common Multiple of Numerators i.e. LCM of 330,207,642 is 2436390.

GCF of Denominators means GCF of 90,56,743 as per the given fractions.

GCF of 90,56,743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 330,207,642

LCM of Fractions 330/90,207/56,642/743 is 2436390

2 330, 207, 642
3 165, 207, 321
55, 69, 107

∴ So the LCM of the given numbers is 2 x 3 x 55 x 69 x 107 = 2436390

Least Common Multiple of 330,207,642 with GCF Formula

Least Common Multiple of 330,207,642 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 330,207,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,207,642) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(330,207,642) x common factors =3 x 6 = 18

LCM(330,207,642) = ( 330 × 207 × 642 ) / 18

LCM(330,207,642) = 43855020 / 18

LCM(330,207,642) = 2436390


Lets's calculate GCF of 90,56,743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2436390/1

Therefore the LCM of Fractions 330/90,207/56,642/743 is 2436390

Greatest Common Factor of 90,56,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,56,743 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 90,56,743 . The biggest common factor number is the GCF number.
So the greatest common factor 90,56,743 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 330/90, 207/56, 642/743

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 330/90, 207/56, 642/743?

Answer: LCM of Numerators as per given numbers 330/90, 207/56, 642/743 is

LCM of Numerators i.e. for 330,207,642 is 2436390

GCF of denominators i.e. for 90,56,743 is 1.

Thus, LCM of Fractions is 2436390.Finally, LCM of Fractions for 330/90, 207/56, 642/743 is 2436390.