Given numbers are 722,456,374,864

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

The LCM of 722,456,374,864 is 58326048.

Find LCM of 722,456,374,864 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 1 x 19 x 187 x 36 = 58326048

Therefore, the lowest common multiple of 722,456,374,864 is 58326048.

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 456 x 374 x 864 = 106386711552

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

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

374 : 1, 2, 11, 17, 22, 34, 187, 374

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,456,374,864, is 2.

Now, the common factors can be found like this.

722:2x 19x 19

456:2x 2x 2x 3x 19

374:2x 11x 17

864:2x 2x 2x 2x 2x 3x 3x 3

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 3x 19 = 912

Therefore, the value for common factors is 912.

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 = 106386711552/(2x912)

LCM = 106386711552/1824

LCM = 58326048

Thus, we can understand that the LCM of 722,456,374,864 is 58326048.

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

• LCM of 693, 311, 624, 935
• LCM of 627, 524, 113, 970
• LCM of 535, 867, 648, 158
• LCM of 191, 472, 773, 754
• LCM of 974, 772, 907, 472

1. What is the LCM of 722, 456, 374, 864?

Answer: LCM of 722, 456, 374, 864 is 58326048.

2. How to calculate the LCM of 722, 456, 374, 864?

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, 456, 374, 864.

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}.