Least Common Multiple of 45/730, 6063/3325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 45/730, 6063/3325 quickly i.e. 18189 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/730, 6063/3325 is 18189.

LCM(45/730, 6063/3325) = 18189

LCM of 45/730, 6063/3325

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 45/730,6063/3325

Given numbers are 45/730,6063/3325

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 45,6063

Least Common Multiple of Numerators i.e. LCM of 45,6063 is 90945.

GCF of Denominators means GCF of 730,3325 as per the given fractions.

GCF of 730,3325 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,6063

LCM of Fractions 45/730,6063/3325 is 18189

3 45, 6063
15, 2021

∴ So the LCM of the given numbers is 3 x 15 x 2021 = 90945

Least Common Multiple of 45,6063 with GCF Formula

Least Common Multiple of 45,6063 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 45,6063 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,6063) = 3

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

GCF(45,6063) x common factors =3 x 1 = 3

LCM(45,6063) = ( 45 × 6063 ) / 3

LCM(45,6063) = 272835 / 3

LCM(45,6063) = 90945


Lets's calculate GCF of 730,3325

5 730, 3325
146, 665

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90945/5

Therefore the LCM of Fractions 45/730,6063/3325 is 18189

Greatest Common Factor of 730,3325 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,3325 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 3325

List of positive integer factors of 3325 that divides 3325 without a remainder.

1,5,7,19,25,35,95,133,175,475,665,3325

Greatest Common Factor

We found the factors 730,3325 . The biggest common factor number is the GCF number.
So the greatest common factor 730,3325 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 45/730, 6063/3325

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 45/730, 6063/3325?

Answer: LCM of Numerators as per given numbers 45/730, 6063/3325 is

LCM of Numerators i.e. for 45,6063 is 90945

GCF of denominators i.e. for 730,3325 is 5.

Thus, LCM of Fractions is 18189.Finally, LCM of Fractions for 45/730, 6063/3325 is 18189.