Least Common Multiple of 69/76, 41/37, 60/22, 79/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/76, 41/37, 60/22, 79/590 quickly i.e. 4469820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/76, 41/37, 60/22, 79/590 is 4469820.

LCM(69/76, 41/37, 60/22, 79/590) = 4469820

LCM of 69/76, 41/37, 60/22, 79/590

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 69/76,41/37,60/22,79/590

Given numbers are 69/76,41/37,60/22,79/590

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 69,41,60,79

Least Common Multiple of Numerators i.e. LCM of 69,41,60,79 is 4469820.

GCF of Denominators means GCF of 76,37,22,590 as per the given fractions.

GCF of 76,37,22,590 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,41,60,79

LCM of Fractions 69/76,41/37,60/22,79/590 is 4469820

3 69, 41, 60, 79
23, 41, 20, 79

∴ So the LCM of the given numbers is 3 x 23 x 41 x 20 x 79 = 4469820

Least Common Multiple of 69,41,60,79 with GCF Formula

Least Common Multiple of 69,41,60,79 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 69,41,60,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,41,60,79) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,41,60,79) x common factors =1 x 3 = 3

LCM(69,41,60,79) = ( 69 × 41 × 60 × 79 ) / 3

LCM(69,41,60,79) = 13409460 / 3

LCM(69,41,60,79) = 4469820


Lets's calculate GCF of 76,37,22,590

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4469820/1

Therefore the LCM of Fractions 69/76,41/37,60/22,79/590 is 4469820

Greatest Common Factor of 76,37,22,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,37,22,590 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 76,37,22,590 . The biggest common factor number is the GCF number.
So the greatest common factor 76,37,22,590 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 69/76, 41/37, 60/22, 79/590

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 69/76, 41/37, 60/22, 79/590?

Answer: LCM of Numerators as per given numbers 69/76, 41/37, 60/22, 79/590 is

LCM of Numerators i.e. for 69,41,60,79 is 4469820

GCF of denominators i.e. for 76,37,22,590 is 1.

Thus, LCM of Fractions is 4469820.Finally, LCM of Fractions for 69/76, 41/37, 60/22, 79/590 is 4469820.