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LCM of 530, 675, 421, 662

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


Find the LCM of 530, 675, 421, 662 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, 675, 421, 662. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 530,675,421,662

Given numbers are 530,675,421,662

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

The LCM of 530,675,421,662 is 9970564050.

Find LCM of 530,675,421,662 with Prime Factorization


2 530, 675, 421, 662
5 265, 675, 421, 331
53, 135, 421, 331

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

2 x 5 x 53 x 135 x 421 x 331 = 9970564050

Therefore, the lowest common multiple of 530,675,421,662 is 9970564050.

LCM Formula to Find Lowest Common Multiple of 530,675,421,662

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 675 x 421 x 662 = 99705640500

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

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

421 : 1, 421

662 : 1, 2, 331, 662

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,675,421,662, is 1.

Now, the common factors can be found like this.

530:2x 5x 53

675:3x 3x 3x 5x 5

421:421

662:2x 331

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 99705640500/(1x10)

LCM = 99705640500/10

LCM = 9970564050

Thus, we can understand that the LCM of 530,675,421,662 is 9970564050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 530, 675, 421, 662

1. What is the LCM of 530, 675, 421, 662?

Answer: LCM of 530, 675, 421, 662 is 9970564050.

2. How to calculate the LCM of 530, 675, 421, 662?

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, 675, 421, 662.

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}.