Least Common Multiple of 66/41, 519/52, 225/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 66/41, 519/52, 225/871 quickly i.e. 856350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/41, 519/52, 225/871 is 856350.

LCM(66/41, 519/52, 225/871) = 856350

LCM of 66/41, 519/52, 225/871

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 66/41,519/52,225/871

Given numbers are 66/41,519/52,225/871

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 66,519,225

Least Common Multiple of Numerators i.e. LCM of 66,519,225 is 856350.

GCF of Denominators means GCF of 41,52,871 as per the given fractions.

GCF of 41,52,871 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,519,225

LCM of Fractions 66/41,519/52,225/871 is 856350

3 66, 519, 225
22, 173, 75

∴ So the LCM of the given numbers is 3 x 22 x 173 x 75 = 856350

Least Common Multiple of 66,519,225 with GCF Formula

Least Common Multiple of 66,519,225 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 66,519,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,519,225) = 3

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

GCF(66,519,225) x common factors =3 x 3 = 9

LCM(66,519,225) = ( 66 × 519 × 225 ) / 9

LCM(66,519,225) = 7707150 / 9

LCM(66,519,225) = 856350


Lets's calculate GCF of 41,52,871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 856350/1

Therefore the LCM of Fractions 66/41,519/52,225/871 is 856350

Greatest Common Factor of 41,52,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,52,871 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 41,52,871 . The biggest common factor number is the GCF number.
So the greatest common factor 41,52,871 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 66/41, 519/52, 225/871

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 66/41, 519/52, 225/871?

Answer: LCM of Numerators as per given numbers 66/41, 519/52, 225/871 is

LCM of Numerators i.e. for 66,519,225 is 856350

GCF of denominators i.e. for 41,52,871 is 1.

Thus, LCM of Fractions is 856350.Finally, LCM of Fractions for 66/41, 519/52, 225/871 is 856350.