Least Common Multiple of 162/20, 1507/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 162/20, 1507/414 quickly i.e. 122067 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 162/20, 1507/414 is 122067.

LCM(162/20, 1507/414) = 122067

LCM of 162/20, 1507/414

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 162/20,1507/414

Given numbers are 162/20,1507/414

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 162,1507

Least Common Multiple of Numerators i.e. LCM of 162,1507 is 244134.

GCF of Denominators means GCF of 20,414 as per the given fractions.

GCF of 20,414 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 162,1507

LCM of Fractions 162/20,1507/414 is 122067

Given numbers has no common factors except 1. So, there LCM is their product i.e 244134

Least Common Multiple of 162,1507 with GCF Formula

Least Common Multiple of 162,1507 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 162,1507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,1507) = 1

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

GCF(162,1507) x common factors =1 x 1 = 1

LCM(162,1507) = ( 162 × 1507 ) / 1

LCM(162,1507) = 244134 / 1

LCM(162,1507) = 244134


Lets's calculate GCF of 20,414

2 20, 414
10, 207

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 244134/2

Therefore the LCM of Fractions 162/20,1507/414 is 122067

Greatest Common Factor of 20,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,414 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 20,414 . The biggest common factor number is the GCF number.
So the greatest common factor 20,414 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 162/20, 1507/414

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 162/20, 1507/414?

Answer: LCM of Numerators as per given numbers 162/20, 1507/414 is

LCM of Numerators i.e. for 162,1507 is 244134

GCF of denominators i.e. for 20,414 is 2.

Thus, LCM of Fractions is 122067.Finally, LCM of Fractions for 162/20, 1507/414 is 122067.