Least Common Multiple of 9/34, 45/204, 53/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/34, 45/204, 53/697 quickly i.e. 2385/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/34, 45/204, 53/697 is 2385/17.

LCM(9/34, 45/204, 53/697) = 2385/17

LCM of 9/34, 45/204, 53/697

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 9/34,45/204,53/697

Given numbers are 9/34,45/204,53/697

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 9,45,53

Least Common Multiple of Numerators i.e. LCM of 9,45,53 is 2385.

GCF of Denominators means GCF of 34,204,697 as per the given fractions.

GCF of 34,204,697 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,45,53

LCM of Fractions 9/34,45/204,53/697 is 2385/17

3 9, 45, 53
3 3, 15, 53
1, 5, 53

∴ So the LCM of the given numbers is 3 x 3 x 1 x 5 x 53 = 2385

Least Common Multiple of 9,45,53 with GCF Formula

Least Common Multiple of 9,45,53 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 9,45,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,45,53) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(9,45,53) x common factors =1 x 9 = 9

LCM(9,45,53) = ( 9 × 45 × 53 ) / 9

LCM(9,45,53) = 21465 / 9

LCM(9,45,53) = 2385


Lets's calculate GCF of 34,204,697

17 34, 204, 697
2, 12, 41

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2385/17

Therefore the LCM of Fractions 9/34,45/204,53/697 is 2385/17

Greatest Common Factor of 34,204,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,204,697 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 34,204,697 . The biggest common factor number is the GCF number.
So the greatest common factor 34,204,697 is 17.


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 9/34, 45/204, 53/697

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 9/34, 45/204, 53/697?

Answer: LCM of Numerators as per given numbers 9/34, 45/204, 53/697 is

LCM of Numerators i.e. for 9,45,53 is 2385

GCF of denominators i.e. for 34,204,697 is 17.

Thus, LCM of Fractions is 2385/17.Finally, LCM of Fractions for 9/34, 45/204, 53/697 is 2385/17.