Least Common Multiple of 201/17, 697/51, 983/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 201/17, 697/51, 983/378 quickly i.e. 137715351 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 201/17, 697/51, 983/378 is 137715351.

LCM(201/17, 697/51, 983/378) = 137715351

LCM of 201/17, 697/51, 983/378

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 201/17,697/51,983/378

Given numbers are 201/17,697/51,983/378

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 201,697,983

Least Common Multiple of Numerators i.e. LCM of 201,697,983 is 137715351.

GCF of Denominators means GCF of 17,51,378 as per the given fractions.

GCF of 17,51,378 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 201,697,983

LCM of Fractions 201/17,697/51,983/378 is 137715351

Given numbers has no common factors except 1. So, there LCM is their product i.e 137715351

Least Common Multiple of 201,697,983 with GCF Formula

Least Common Multiple of 201,697,983 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 201,697,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(201,697,983) = 1

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

GCF(201,697,983) x common factors =1 x 1 = 1

LCM(201,697,983) = ( 201 × 697 × 983 ) / 1

LCM(201,697,983) = 137715351 / 1

LCM(201,697,983) = 137715351


Lets's calculate GCF of 17,51,378

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137715351/1

Therefore the LCM of Fractions 201/17,697/51,983/378 is 137715351

Greatest Common Factor of 17,51,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,51,378 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 17,51,378 . The biggest common factor number is the GCF number.
So the greatest common factor 17,51,378 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 201/17, 697/51, 983/378

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 201/17, 697/51, 983/378?

Answer: LCM of Numerators as per given numbers 201/17, 697/51, 983/378 is

LCM of Numerators i.e. for 201,697,983 is 137715351

GCF of denominators i.e. for 17,51,378 is 1.

Thus, LCM of Fractions is 137715351.Finally, LCM of Fractions for 201/17, 697/51, 983/378 is 137715351.