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LCM of 191, 493, 565, 339

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 191, 493, 565, 339 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 191, 493, 565, 339. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 191,493,565,339

Given numbers are 191,493,565,339

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 191,493,565,339 is 159606285.

Find LCM of 191,493,565,339 with Prime Factorization


113 191, 493, 565, 339
191, 493, 5, 3

Multiply the prime numbers at the bottom and the left side.

113 x 191 x 493 x 5 x 3 = 159606285

Therefore, the lowest common multiple of 191,493,565,339 is 159606285.

LCM Formula to Find Lowest Common Multiple of 191,493,565,339

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

191 x 493 x 565 x 339 = 18035510205

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

191 : 1, 191

493 : 1, 17, 29, 493

565 : 1, 5, 113, 565

339 : 1, 3, 113, 339

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 191,493,565,339, is 1.

Now, the common factors can be found like this.

191:191

493:17x 29

565:5x 113

339:3x 113

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

113 = 113

Therefore, the value for common factors is 113.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 18035510205/(1x113)

LCM = 18035510205/113

LCM = 159606285

Thus, we can understand that the LCM of 191,493,565,339 is 159606285.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 191, 493, 565, 339

1. What is the LCM of 191, 493, 565, 339?

Answer: LCM of 191, 493, 565, 339 is 159606285.

2. How to calculate the LCM of 191, 493, 565, 339?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 191, 493, 565, 339.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.