Least Common Multiple of 69/583, 61/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/583, 61/308 quickly i.e. 4209/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/583, 61/308 is 4209/11.

LCM(69/583, 61/308) = 4209/11

LCM of 69/583, 61/308

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 69/583,61/308

Given numbers are 69/583,61/308

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 69,61

Least Common Multiple of Numerators i.e. LCM of 69,61 is 4209.

GCF of Denominators means GCF of 583,308 as per the given fractions.

GCF of 583,308 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,61

LCM of Fractions 69/583,61/308 is 4209/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 4209

Least Common Multiple of 69,61 with GCF Formula

Least Common Multiple of 69,61 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 69,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,61) = 1

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

GCF(69,61) x common factors =1 x 1 = 1

LCM(69,61) = ( 69 × 61 ) / 1

LCM(69,61) = 4209 / 1

LCM(69,61) = 4209


Lets's calculate GCF of 583,308

11 583, 308
53, 28

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4209/11

Therefore the LCM of Fractions 69/583,61/308 is 4209/11

Greatest Common Factor of 583,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,308 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 583,308 . The biggest common factor number is the GCF number.
So the greatest common factor 583,308 is 11.


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 69/583, 61/308

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 69/583, 61/308?

Answer: LCM of Numerators as per given numbers 69/583, 61/308 is

LCM of Numerators i.e. for 69,61 is 4209

GCF of denominators i.e. for 583,308 is 11.

Thus, LCM of Fractions is 4209/11.Finally, LCM of Fractions for 69/583, 61/308 is 4209/11.