Least Common Multiple of 573/150, 3422/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 573/150, 3422/792 quickly i.e. 326801 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 573/150, 3422/792 is 326801.

LCM(573/150, 3422/792) = 326801

LCM of 573/150, 3422/792

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 573/150,3422/792

Given numbers are 573/150,3422/792

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 573,3422

Least Common Multiple of Numerators i.e. LCM of 573,3422 is 1960806.

GCF of Denominators means GCF of 150,792 as per the given fractions.

GCF of 150,792 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 573,3422

LCM of Fractions 573/150,3422/792 is 326801

Given numbers has no common factors except 1. So, there LCM is their product i.e 1960806

Least Common Multiple of 573,3422 with GCF Formula

Least Common Multiple of 573,3422 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 573,3422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(573,3422) = 1

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

GCF(573,3422) x common factors =1 x 1 = 1

LCM(573,3422) = ( 573 × 3422 ) / 1

LCM(573,3422) = 1960806 / 1

LCM(573,3422) = 1960806


Lets's calculate GCF of 150,792

2 150, 792
3 75, 396
25, 132

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1960806/6

Therefore the LCM of Fractions 573/150,3422/792 is 326801

Greatest Common Factor of 150,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,792 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 150,792 . The biggest common factor number is the GCF number.
So the greatest common factor 150,792 is 6.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 573/150, 3422/792

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 573/150, 3422/792?

Answer: LCM of Numerators as per given numbers 573/150, 3422/792 is

LCM of Numerators i.e. for 573,3422 is 1960806

GCF of denominators i.e. for 150,792 is 6.

Thus, LCM of Fractions is 326801.Finally, LCM of Fractions for 573/150, 3422/792 is 326801.