Least Common Multiple of 467/30, 270/41, 907/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 467/30, 270/41, 907/271 quickly i.e. 114363630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 467/30, 270/41, 907/271 is 114363630.

LCM(467/30, 270/41, 907/271) = 114363630

LCM of 467/30, 270/41, 907/271

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 467/30,270/41,907/271

Given numbers are 467/30,270/41,907/271

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 467,270,907

Least Common Multiple of Numerators i.e. LCM of 467,270,907 is 114363630.

GCF of Denominators means GCF of 30,41,271 as per the given fractions.

GCF of 30,41,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 467,270,907

LCM of Fractions 467/30,270/41,907/271 is 114363630

Given numbers has no common factors except 1. So, there LCM is their product i.e 114363630

Least Common Multiple of 467,270,907 with GCF Formula

Least Common Multiple of 467,270,907 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 467,270,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,270,907) = 1

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

GCF(467,270,907) x common factors =1 x 1 = 1

LCM(467,270,907) = ( 467 × 270 × 907 ) / 1

LCM(467,270,907) = 114363630 / 1

LCM(467,270,907) = 114363630


Lets's calculate GCF of 30,41,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114363630/1

Therefore the LCM of Fractions 467/30,270/41,907/271 is 114363630

Greatest Common Factor of 30,41,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,41,271 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 41

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

1,41

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 30,41,271 . The biggest common factor number is the GCF number.
So the greatest common factor 30,41,271 is 1.


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 467/30, 270/41, 907/271

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 467/30, 270/41, 907/271?

Answer: LCM of Numerators as per given numbers 467/30, 270/41, 907/271 is

LCM of Numerators i.e. for 467,270,907 is 114363630

GCF of denominators i.e. for 30,41,271 is 1.

Thus, LCM of Fractions is 114363630.Finally, LCM of Fractions for 467/30, 270/41, 907/271 is 114363630.