Least Common Multiple of 402/169, 201/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 402/169, 201/306 quickly i.e. 402 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 402/169, 201/306 is 402.

LCM(402/169, 201/306) = 402

LCM of 402/169, 201/306

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 402/169,201/306

Given numbers are 402/169,201/306

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 402,201

Least Common Multiple of Numerators i.e. LCM of 402,201 is 402.

GCF of Denominators means GCF of 169,306 as per the given fractions.

GCF of 169,306 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 402,201

LCM of Fractions 402/169,201/306 is 402

3 402, 201
67 134, 67
2, 1

∴ So the LCM of the given numbers is 3 x 67 x 2 x 1 = 402

Least Common Multiple of 402,201 with GCF Formula

Least Common Multiple of 402,201 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 402,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,201) = 201

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

GCF(402,201) x common factors =201 x 1 = 201

LCM(402,201) = ( 402 × 201 ) / 201

LCM(402,201) = 80802 / 201

LCM(402,201) = 402


Lets's calculate GCF of 169,306

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 402/1

Therefore the LCM of Fractions 402/169,201/306 is 402

Greatest Common Factor of 169,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,306 By Matching Biggest Common Factor Method

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 169,306 . The biggest common factor number is the GCF number.
So the greatest common factor 169,306 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 402/169, 201/306

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 402/169, 201/306?

Answer: LCM of Numerators as per given numbers 402/169, 201/306 is

LCM of Numerators i.e. for 402,201 is 402

GCF of denominators i.e. for 169,306 is 1.

Thus, LCM of Fractions is 402.Finally, LCM of Fractions for 402/169, 201/306 is 402.