Given numbers are 638,149,720,296,312

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

The LCM of 638,149,720,296,312 is 16460935920.

Find LCM of 638,149,720,296,312 with Prime Factorization

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

2 x 2 x 2 x 3 x 319 x 149 x 30 x 37 x 13 = 16460935920

Therefore, the lowest common multiple of 638,149,720,296,312 is 16460935920.

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.

638 x 149 x 720 x 296 x 312 = 6320999393280

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

149 : 1, 149

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

296 : 1, 2, 4, 8, 37, 74, 148, 296

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,149,720,296,312, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

149:149

720:2x 2x 2x 2x 3x 3x 5

296:2x 2x 2x 37

312:2x 2x 2x 3x 13

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 2x 2x 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 6320999393280/(1x384)

LCM = 6320999393280/384

LCM = 16460935920

Thus, we can understand that the LCM of 638,149,720,296,312 is 16460935920.

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

• LCM of 901, 503, 814, 236, 143
• LCM of 944, 684, 444, 276, 769
• LCM of 696, 122, 823, 448, 407
• LCM of 731, 905, 874, 265, 645
• LCM of 210, 462, 793, 990, 812

1. What is the LCM of 638, 149, 720, 296, 312?

Answer: LCM of 638, 149, 720, 296, 312 is 16460935920.

2. How to calculate the LCM of 638, 149, 720, 296, 312?

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 638, 149, 720, 296, 312.

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}.