Given numbers are 722,864,466,434,748

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

The LCM of 722,864,466,434,748 is 2949023312928.

Find LCM of 722,864,466,434,748 with Prime Factorization

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

2 x 2 x 361 x 216 x 233 x 217 x 187 = 2949023312928

Therefore, the lowest common multiple of 722,864,466,434,748 is 2949023312928.

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 864 x 466 x 434 x 748 = 94368746013696

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

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

466 : 1, 2, 233, 466

434 : 1, 2, 7, 14, 31, 62, 217, 434

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,864,466,434,748, is 2.

Now, the common factors can be found like this.

722:2x 19x 19

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

466:2x 233

434:2x 7x 31

748:2x 2x 11x 17

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 2 = 16

Therefore, the value for common factors is 16.

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 = 94368746013696/(2x16)

LCM = 94368746013696/32

LCM = 2949023312928

Thus, we can understand that the LCM of 722,864,466,434,748 is 2949023312928.

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

• LCM of 154, 107, 143, 376, 961
• LCM of 483, 245, 279, 549, 365
• LCM of 535, 954, 888, 550, 777
• LCM of 780, 804, 644, 557, 159
• LCM of 411, 288, 219, 117, 404

1. What is the LCM of 722, 864, 466, 434, 748?

Answer: LCM of 722, 864, 466, 434, 748 is 2949023312928.

2. How to calculate the LCM of 722, 864, 466, 434, 748?

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, 864, 466, 434, 748.

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}.