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LCM of 700, 813, 216, 642

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


Find the LCM of 700, 813, 216, 642 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 700, 813, 216, 642. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 700,813,216,642

Given numbers are 700,813,216,642

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

The LCM of 700,813,216,642 is 1096086600.

Find LCM of 700,813,216,642 with Prime Factorization


2 700, 813, 216, 642
2 350, 813, 108, 321
3 175, 813, 54, 321
175, 271, 18, 107

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

2 x 2 x 3 x 175 x 271 x 18 x 107 = 1096086600

Therefore, the lowest common multiple of 700,813,216,642 is 1096086600.

LCM Formula to Find Lowest Common Multiple of 700,813,216,642

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.

700 x 813 x 216 x 642 = 78918235200

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.

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

813 : 1, 3, 271, 813

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,813,216,642, is 1.

Now, the common factors can be found like this.

700:2x 2x 5x 5x 7

813:3x 271

216:2x 2x 2x 3x 3x 3

642:2x 3x 107

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 78918235200/(1x72)

LCM = 78918235200/72

LCM = 1096086600

Thus, we can understand that the LCM of 700,813,216,642 is 1096086600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 700, 813, 216, 642

1. What is the LCM of 700, 813, 216, 642?

Answer: LCM of 700, 813, 216, 642 is 1096086600.

2. How to calculate the LCM of 700, 813, 216, 642?

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 700, 813, 216, 642.

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}.