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LCM of 506, 530, 424, 424

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


Find the LCM of 506, 530, 424, 424 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 506, 530, 424, 424. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 506,530,424,424

Given numbers are 506,530,424,424

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

The LCM of 506,530,424,424 is 536360.

Find LCM of 506,530,424,424 with Prime Factorization


2 506, 530, 424, 424
2 253, 265, 212, 212
2 253, 265, 106, 106
53 253, 265, 53, 53
253, 5, 1, 1

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

2 x 2 x 2 x 53 x 253 x 5 x 1 x 1 = 536360

Therefore, the lowest common multiple of 506,530,424,424 is 536360.

LCM Formula to Find Lowest Common Multiple of 506,530,424,424

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.

506 x 530 x 424 x 424 = 48212327680

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

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

424 : 1, 2, 4, 8, 53, 106, 212, 424

424 : 1, 2, 4, 8, 53, 106, 212, 424

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,530,424,424, is 2.

Now, the common factors can be found like this.

506:2x 11x 23

530:2x 5x 53

424:2x 2x 2x 53

424:2x 2x 2x 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 2x 2x 2x 53x 53 = 44944

Therefore, the value for common factors is 44944.

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 = 48212327680/(2x44944)

LCM = 48212327680/89888

LCM = 536360

Thus, we can understand that the LCM of 506,530,424,424 is 536360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 506, 530, 424, 424

1. What is the LCM of 506, 530, 424, 424?

Answer: LCM of 506, 530, 424, 424 is 536360.

2. How to calculate the LCM of 506, 530, 424, 424?

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 506, 530, 424, 424.

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}.