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LCM of 508, 687, 862, 666

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


Find the LCM of 508, 687, 862, 666 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 508, 687, 862, 666. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 508,687,862,666

Given numbers are 508,687,862,666

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

The LCM of 508,687,862,666 is 16696317636.

Find LCM of 508,687,862,666 with Prime Factorization


2 508, 687, 862, 666
3 254, 687, 431, 333
254, 229, 431, 111

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

2 x 3 x 254 x 229 x 431 x 111 = 16696317636

Therefore, the lowest common multiple of 508,687,862,666 is 16696317636.

LCM Formula to Find Lowest Common Multiple of 508,687,862,666

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.

508 x 687 x 862 x 666 = 200355811632

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.

508 : 1, 2, 4, 127, 254, 508

687 : 1, 3, 229, 687

862 : 1, 2, 431, 862

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,687,862,666, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

687:3x 229

862:2x 431

666:2x 3x 3x 37

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 3 = 12

Therefore, the value for common factors is 12.

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 = 200355811632/(1x12)

LCM = 200355811632/12

LCM = 16696317636

Thus, we can understand that the LCM of 508,687,862,666 is 16696317636.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 508, 687, 862, 666

1. What is the LCM of 508, 687, 862, 666?

Answer: LCM of 508, 687, 862, 666 is 16696317636.

2. How to calculate the LCM of 508, 687, 862, 666?

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 508, 687, 862, 666.

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}.