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LCM of 530, 411, 732, 702

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


Find the LCM of 530, 411, 732, 702 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, 411, 732, 702. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 530,411,732,702

Given numbers are 530,411,732,702

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

The LCM of 530,411,732,702 is 3109305420.

Find LCM of 530,411,732,702 with Prime Factorization


2 530, 411, 732, 702
3 265, 411, 366, 351
265, 137, 122, 117

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

2 x 3 x 265 x 137 x 122 x 117 = 3109305420

Therefore, the lowest common multiple of 530,411,732,702 is 3109305420.

LCM Formula to Find Lowest Common Multiple of 530,411,732,702

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 411 x 732 x 702 = 111934995120

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

411 : 1, 3, 137, 411

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,411,732,702, is 1.

Now, the common factors can be found like this.

530:2x 5x 53

411:3x 137

732:2x 2x 3x 61

702:2x 3x 3x 3x 13

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

2x 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 111934995120/(1x36)

LCM = 111934995120/36

LCM = 3109305420

Thus, we can understand that the LCM of 530,411,732,702 is 3109305420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 530, 411, 732, 702

1. What is the LCM of 530, 411, 732, 702?

Answer: LCM of 530, 411, 732, 702 is 3109305420.

2. How to calculate the LCM of 530, 411, 732, 702?

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, 411, 732, 702.

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}.