Least Common Multiple of 3225/572, 3524/7064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3225/572, 3524/7064 quickly i.e. 2841225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3225/572, 3524/7064 is 2841225.

LCM(3225/572, 3524/7064) = 2841225

LCM of 3225/572, 3524/7064

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 3225/572,3524/7064

Given numbers are 3225/572,3524/7064

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 3225,3524

Least Common Multiple of Numerators i.e. LCM of 3225,3524 is 11364900.

GCF of Denominators means GCF of 572,7064 as per the given fractions.

GCF of 572,7064 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3225,3524

LCM of Fractions 3225/572,3524/7064 is 2841225

Given numbers has no common factors except 1. So, there LCM is their product i.e 11364900

Least Common Multiple of 3225,3524 with GCF Formula

Least Common Multiple of 3225,3524 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 3225,3524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3225,3524) = 1

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

GCF(3225,3524) x common factors =1 x 1 = 1

LCM(3225,3524) = ( 3225 × 3524 ) / 1

LCM(3225,3524) = 11364900 / 1

LCM(3225,3524) = 11364900


Lets's calculate GCF of 572,7064

2 572, 7064
2 286, 3532
143, 1766

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11364900/4

Therefore the LCM of Fractions 3225/572,3524/7064 is 2841225

Greatest Common Factor of 572,7064 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,7064 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 7064

List of positive integer factors of 7064 that divides 7064 without a remainder.

1,2,4,8,883,1766,3532,7064

Greatest Common Factor

We found the factors 572,7064 . The biggest common factor number is the GCF number.
So the greatest common factor 572,7064 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3225/572, 3524/7064

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 3225/572, 3524/7064?

Answer: LCM of Numerators as per given numbers 3225/572, 3524/7064 is

LCM of Numerators i.e. for 3225,3524 is 11364900

GCF of denominators i.e. for 572,7064 is 4.

Thus, LCM of Fractions is 2841225.Finally, LCM of Fractions for 3225/572, 3524/7064 is 2841225.