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LCM of 719, 493, 249, 415

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


Find the LCM of 719, 493, 249, 415 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 719, 493, 249, 415. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 719,493,249,415

Given numbers are 719,493,249,415

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

The LCM of 719,493,249,415 is 441311415.

Find LCM of 719,493,249,415 with Prime Factorization


83 719, 493, 249, 415
719, 493, 3, 5

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

83 x 719 x 493 x 3 x 5 = 441311415

Therefore, the lowest common multiple of 719,493,249,415 is 441311415.

LCM Formula to Find Lowest Common Multiple of 719,493,249,415

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.

719 x 493 x 249 x 415 = 36628847445

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.

719 : 1, 719

493 : 1, 17, 29, 493

249 : 1, 3, 83, 249

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,493,249,415, is 1.

Now, the common factors can be found like this.

719:719

493:17x 29

249:3x 83

415:5x 83

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

83 = 83

Therefore, the value for common factors is 83.

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 = 36628847445/(1x83)

LCM = 36628847445/83

LCM = 441311415

Thus, we can understand that the LCM of 719,493,249,415 is 441311415.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 719, 493, 249, 415

1. What is the LCM of 719, 493, 249, 415?

Answer: LCM of 719, 493, 249, 415 is 441311415.

2. How to calculate the LCM of 719, 493, 249, 415?

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 719, 493, 249, 415.

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}.