Least Common Multiple of 69/21, 344/74, 205/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/21, 344/74, 205/597 quickly i.e. 4865880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/21, 344/74, 205/597 is 4865880.

LCM(69/21, 344/74, 205/597) = 4865880

LCM of 69/21, 344/74, 205/597

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 69/21,344/74,205/597

Given numbers are 69/21,344/74,205/597

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 69,344,205

Least Common Multiple of Numerators i.e. LCM of 69,344,205 is 4865880.

GCF of Denominators means GCF of 21,74,597 as per the given fractions.

GCF of 21,74,597 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,344,205

LCM of Fractions 69/21,344/74,205/597 is 4865880

Given numbers has no common factors except 1. So, there LCM is their product i.e 4865880

Least Common Multiple of 69,344,205 with GCF Formula

Least Common Multiple of 69,344,205 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 69,344,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,344,205) = 1

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

GCF(69,344,205) x common factors =1 x 1 = 1

LCM(69,344,205) = ( 69 × 344 × 205 ) / 1

LCM(69,344,205) = 4865880 / 1

LCM(69,344,205) = 4865880


Lets's calculate GCF of 21,74,597

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4865880/1

Therefore the LCM of Fractions 69/21,344/74,205/597 is 4865880

Greatest Common Factor of 21,74,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,74,597 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 21,74,597 . The biggest common factor number is the GCF number.
So the greatest common factor 21,74,597 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 69/21, 344/74, 205/597

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 69/21, 344/74, 205/597?

Answer: LCM of Numerators as per given numbers 69/21, 344/74, 205/597 is

LCM of Numerators i.e. for 69,344,205 is 4865880

GCF of denominators i.e. for 21,74,597 is 1.

Thus, LCM of Fractions is 4865880.Finally, LCM of Fractions for 69/21, 344/74, 205/597 is 4865880.