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LCM of 719, 550, 913, 530

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


Find the LCM of 719, 550, 913, 530 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, 550, 913, 530. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 719,550,913,530

Given numbers are 719,550,913,530

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

The LCM of 719,550,913,530 is 1739584550.

Find LCM of 719,550,913,530 with Prime Factorization


2 719, 550, 913, 530
5 719, 275, 913, 265
11 719, 55, 913, 53
719, 5, 83, 53

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

2 x 5 x 11 x 719 x 5 x 83 x 53 = 1739584550

Therefore, the lowest common multiple of 719,550,913,530 is 1739584550.

LCM Formula to Find Lowest Common Multiple of 719,550,913,530

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 550 x 913 x 530 = 191354300500

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

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

913 : 1, 11, 83, 913

530 : 1, 2, 5, 10, 53, 106, 265, 530

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,550,913,530, is 1.

Now, the common factors can be found like this.

719:719

550:2x 5x 5x 11

913:11x 83

530:2x 5x 53

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

2x 5x 11 = 110

Therefore, the value for common factors is 110.

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 = 191354300500/(1x110)

LCM = 191354300500/110

LCM = 1739584550

Thus, we can understand that the LCM of 719,550,913,530 is 1739584550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 719, 550, 913, 530

1. What is the LCM of 719, 550, 913, 530?

Answer: LCM of 719, 550, 913, 530 is 1739584550.

2. How to calculate the LCM of 719, 550, 913, 530?

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, 550, 913, 530.

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}.