Least Common Multiple of 9418/45, 1271/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9418/45, 1271/265 quickly i.e. 11970278/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9418/45, 1271/265 is 11970278/5.

LCM(9418/45, 1271/265) = 11970278/5

LCM of 9418/45, 1271/265

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 9418/45,1271/265

Given numbers are 9418/45,1271/265

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 9418,1271

Least Common Multiple of Numerators i.e. LCM of 9418,1271 is 11970278.

GCF of Denominators means GCF of 45,265 as per the given fractions.

GCF of 45,265 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9418,1271

LCM of Fractions 9418/45,1271/265 is 11970278/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 11970278

Least Common Multiple of 9418,1271 with GCF Formula

Least Common Multiple of 9418,1271 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 9418,1271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9418,1271) = 1

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

GCF(9418,1271) x common factors =1 x 1 = 1

LCM(9418,1271) = ( 9418 × 1271 ) / 1

LCM(9418,1271) = 11970278 / 1

LCM(9418,1271) = 11970278


Lets's calculate GCF of 45,265

5 45, 265
9, 53

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11970278/5

Therefore the LCM of Fractions 9418/45,1271/265 is 11970278/5

Greatest Common Factor of 45,265 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,265 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors 45,265 . The biggest common factor number is the GCF number.
So the greatest common factor 45,265 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9418/45, 1271/265

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 9418/45, 1271/265?

Answer: LCM of Numerators as per given numbers 9418/45, 1271/265 is

LCM of Numerators i.e. for 9418,1271 is 11970278

GCF of denominators i.e. for 45,265 is 5.

Thus, LCM of Fractions is 11970278/5.Finally, LCM of Fractions for 9418/45, 1271/265 is 11970278/5.