Least Common Multiple of 17/300, 385/862, 467/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 17/300, 385/862, 467/222 quickly i.e. 3056515/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/300, 385/862, 467/222 is 3056515/2.

LCM(17/300, 385/862, 467/222) = 3056515/2

LCM of 17/300, 385/862, 467/222

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 17/300,385/862,467/222

Given numbers are 17/300,385/862,467/222

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 17,385,467

Least Common Multiple of Numerators i.e. LCM of 17,385,467 is 3056515.

GCF of Denominators means GCF of 300,862,222 as per the given fractions.

GCF of 300,862,222 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,385,467

LCM of Fractions 17/300,385/862,467/222 is 3056515/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 3056515

Least Common Multiple of 17,385,467 with GCF Formula

Least Common Multiple of 17,385,467 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 17,385,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,385,467) = 1

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

GCF(17,385,467) x common factors =1 x 1 = 1

LCM(17,385,467) = ( 17 × 385 × 467 ) / 1

LCM(17,385,467) = 3056515 / 1

LCM(17,385,467) = 3056515


Lets's calculate GCF of 300,862,222

2 300, 862, 222
150, 431, 111

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3056515/2

Therefore the LCM of Fractions 17/300,385/862,467/222 is 3056515/2

Greatest Common Factor of 300,862,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,862,222 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 300,862,222 . The biggest common factor number is the GCF number.
So the greatest common factor 300,862,222 is 2.


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 17/300, 385/862, 467/222

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 17/300, 385/862, 467/222?

Answer: LCM of Numerators as per given numbers 17/300, 385/862, 467/222 is

LCM of Numerators i.e. for 17,385,467 is 3056515

GCF of denominators i.e. for 300,862,222 is 2.

Thus, LCM of Fractions is 3056515/2.Finally, LCM of Fractions for 17/300, 385/862, 467/222 is 3056515/2.