Least Common Multiple of 45/40, 14/529, 522/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 45/40, 14/529, 522/916 quickly i.e. 18270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/40, 14/529, 522/916 is 18270.

LCM(45/40, 14/529, 522/916) = 18270

LCM of 45/40, 14/529, 522/916

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 45/40,14/529,522/916

Given numbers are 45/40,14/529,522/916

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 45,14,522

Least Common Multiple of Numerators i.e. LCM of 45,14,522 is 18270.

GCF of Denominators means GCF of 40,529,916 as per the given fractions.

GCF of 40,529,916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,14,522

LCM of Fractions 45/40,14/529,522/916 is 18270

2 45, 14, 522
3 45, 7, 261
3 15, 7, 87
5, 7, 29

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 7 x 29 = 18270

Least Common Multiple of 45,14,522 with GCF Formula

Least Common Multiple of 45,14,522 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 45,14,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,14,522) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(45,14,522) x common factors =1 x 18 = 18

LCM(45,14,522) = ( 45 × 14 × 522 ) / 18

LCM(45,14,522) = 328860 / 18

LCM(45,14,522) = 18270


Lets's calculate GCF of 40,529,916

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18270/1

Therefore the LCM of Fractions 45/40,14/529,522/916 is 18270

Greatest Common Factor of 40,529,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,529,916 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 40,529,916 . The biggest common factor number is the GCF number.
So the greatest common factor 40,529,916 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 45/40, 14/529, 522/916

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 45/40, 14/529, 522/916?

Answer: LCM of Numerators as per given numbers 45/40, 14/529, 522/916 is

LCM of Numerators i.e. for 45,14,522 is 18270

GCF of denominators i.e. for 40,529,916 is 1.

Thus, LCM of Fractions is 18270.Finally, LCM of Fractions for 45/40, 14/529, 522/916 is 18270.