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LCM of 530, 731, 153, 830

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


Find the LCM of 530, 731, 153, 830 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 530, 731, 153, 830. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 530,731,153,830

Given numbers are 530,731,153,830

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

The LCM of 530,731,153,830 is 289410210.

Find LCM of 530,731,153,830 with Prime Factorization


2 530, 731, 153, 830
5 265, 731, 153, 415
17 53, 731, 153, 83
53, 43, 9, 83

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

2 x 5 x 17 x 53 x 43 x 9 x 83 = 289410210

Therefore, the lowest common multiple of 530,731,153,830 is 289410210.

LCM Formula to Find Lowest Common Multiple of 530,731,153,830

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.

530 x 731 x 153 x 830 = 49199735700

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.

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

731 : 1, 17, 43, 731

153 : 1, 3, 9, 17, 51, 153

830 : 1, 2, 5, 10, 83, 166, 415, 830

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,731,153,830, is 1.

Now, the common factors can be found like this.

530:2x 5x 53

731:17x 43

153:3x 3x 17

830:2x 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.

2x 5x 17 = 170

Therefore, the value for common factors is 170.

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 = 49199735700/(1x170)

LCM = 49199735700/170

LCM = 289410210

Thus, we can understand that the LCM of 530,731,153,830 is 289410210.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 530, 731, 153, 830

1. What is the LCM of 530, 731, 153, 830?

Answer: LCM of 530, 731, 153, 830 is 289410210.

2. How to calculate the LCM of 530, 731, 153, 830?

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 530, 731, 153, 830.

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}.