Least Common Multiple of 45/438, 9989/9274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/438, 9989/9274 quickly i.e. 449505/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/438, 9989/9274 is 449505/2.

LCM(45/438, 9989/9274) = 449505/2

LCM of 45/438, 9989/9274

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 45/438,9989/9274

Given numbers are 45/438,9989/9274

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 45,9989

Least Common Multiple of Numerators i.e. LCM of 45,9989 is 449505.

GCF of Denominators means GCF of 438,9274 as per the given fractions.

GCF of 438,9274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,9989

LCM of Fractions 45/438,9989/9274 is 449505/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 449505

Least Common Multiple of 45,9989 with GCF Formula

Least Common Multiple of 45,9989 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 45,9989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,9989) = 1

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

GCF(45,9989) x common factors =1 x 1 = 1

LCM(45,9989) = ( 45 × 9989 ) / 1

LCM(45,9989) = 449505 / 1

LCM(45,9989) = 449505


Lets's calculate GCF of 438,9274

2 438, 9274
219, 4637

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 449505/2

Therefore the LCM of Fractions 45/438,9989/9274 is 449505/2

Greatest Common Factor of 438,9274 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,9274 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 9274

List of positive integer factors of 9274 that divides 9274 without a remainder.

1,2,4637,9274

Greatest Common Factor

We found the factors 438,9274 . The biggest common factor number is the GCF number.
So the greatest common factor 438,9274 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 45/438, 9989/9274

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 45/438, 9989/9274?

Answer: LCM of Numerators as per given numbers 45/438, 9989/9274 is

LCM of Numerators i.e. for 45,9989 is 449505

GCF of denominators i.e. for 438,9274 is 2.

Thus, LCM of Fractions is 449505/2.Finally, LCM of Fractions for 45/438, 9989/9274 is 449505/2.