Least Common Multiple of 23/470, 121/442, 234/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/470, 121/442, 234/162 quickly i.e. 325611 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/470, 121/442, 234/162 is 325611.

LCM(23/470, 121/442, 234/162) = 325611

LCM of 23/470, 121/442, 234/162

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 23/470,121/442,234/162

Given numbers are 23/470,121/442,234/162

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 23,121,234

Least Common Multiple of Numerators i.e. LCM of 23,121,234 is 651222.

GCF of Denominators means GCF of 470,442,162 as per the given fractions.

GCF of 470,442,162 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,121,234

LCM of Fractions 23/470,121/442,234/162 is 325611

Given numbers has no common factors except 1. So, there LCM is their product i.e 651222

Least Common Multiple of 23,121,234 with GCF Formula

Least Common Multiple of 23,121,234 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 23,121,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,121,234) = 1

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

GCF(23,121,234) x common factors =1 x 1 = 1

LCM(23,121,234) = ( 23 × 121 × 234 ) / 1

LCM(23,121,234) = 651222 / 1

LCM(23,121,234) = 651222


Lets's calculate GCF of 470,442,162

2 470, 442, 162
235, 221, 81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 651222/2

Therefore the LCM of Fractions 23/470,121/442,234/162 is 325611

Greatest Common Factor of 470,442,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,442,162 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 470,442,162 . The biggest common factor number is the GCF number.
So the greatest common factor 470,442,162 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 23/470, 121/442, 234/162

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 23/470, 121/442, 234/162?

Answer: LCM of Numerators as per given numbers 23/470, 121/442, 234/162 is

LCM of Numerators i.e. for 23,121,234 is 651222

GCF of denominators i.e. for 470,442,162 is 2.

Thus, LCM of Fractions is 325611.Finally, LCM of Fractions for 23/470, 121/442, 234/162 is 325611.