Given numbers are 722,362,616,900

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

The LCM of 722,362,616,900 is 9056262600.

Find LCM of 722,362,616,900 with Prime Factorization

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

2 x 2 x 361 x 181 x 154 x 225 = 9056262600

Therefore, the lowest common multiple of 722,362,616,900 is 9056262600.

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.

722 x 362 x 616 x 900 = 144900201600

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.

722 : 1, 2, 19, 38, 361, 722

362 : 1, 2, 181, 362

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,362,616,900, is 2.

Now, the common factors can be found like this.

722:2x 19x 19

362:2x 181

616:2x 2x 2x 7x 11

900:2x 2x 3x 3x 5x 5

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 2 = 8

Therefore, the value for common factors is 8.

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 = 144900201600/(2x8)

LCM = 144900201600/16

LCM = 9056262600

Thus, we can understand that the LCM of 722,362,616,900 is 9056262600.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 745, 641, 505, 390
• LCM of 495, 579, 979, 584
• LCM of 735, 273, 378, 163
• LCM of 858, 976, 248, 667
• LCM of 536, 229, 143, 641

1. What is the LCM of 722, 362, 616, 900?

Answer: LCM of 722, 362, 616, 900 is 9056262600.

2. How to calculate the LCM of 722, 362, 616, 900?

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 722, 362, 616, 900.

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}.