Given numbers are 288,432,497,650,940

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

The LCM of 288,432,497,650,940 is 6559207200.

Find LCM of 288,432,497,650,940 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 5 x 2 x 3 x 497 x 65 x 47 = 6559207200

Therefore, the lowest common multiple of 288,432,497,650,940 is 6559207200.

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.

288 x 432 x 497 x 650 x 940 = 37781033472000

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.

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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

497 : 1, 7, 71, 497

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,432,497,650,940, is 1.

Now, the common factors can be found like this.

288:2x 2x 2x 2x 2x 3x 3

432:2x 2x 2x 2x 3x 3x 3

497:7x 71

650:2x 5x 5x 13

940:2x 2x 5x 47

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 3x 3x 5 = 5760

Therefore, the value for common factors is 5760.

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 = 37781033472000/(1x5760)

LCM = 37781033472000/5760

LCM = 6559207200

Thus, we can understand that the LCM of 288,432,497,650,940 is 6559207200.

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

• LCM of 640, 660, 399, 653, 895
• LCM of 511, 107, 764, 162, 479
• LCM of 849, 387, 902, 160, 469
• LCM of 812, 727, 885, 345, 468
• LCM of 652, 166, 955, 155, 233

1. What is the LCM of 288, 432, 497, 650, 940?

Answer: LCM of 288, 432, 497, 650, 940 is 6559207200.

2. How to calculate the LCM of 288, 432, 497, 650, 940?

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 288, 432, 497, 650, 940.

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}.