Given numbers are 750,580,456,264,213

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

The LCM of 750,580,456,264,213 is 1290993000.

Find LCM of 750,580,456,264,213 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 25 x 29 x 19 x 11 x 71 = 1290993000

Therefore, the lowest common multiple of 750,580,456,264,213 is 1290993000.

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.

750 x 580 x 456 x 264 x 213 = 11154179520000

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.

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,580,456,264,213, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

580:2x 2x 5x 29

456:2x 2x 2x 3x 19

264:2x 2x 2x 3x 11

213:3x 71

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 3x 3x 3x 5 = 8640

Therefore, the value for common factors is 8640.

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 = 11154179520000/(1x8640)

LCM = 11154179520000/8640

LCM = 1290993000

Thus, we can understand that the LCM of 750,580,456,264,213 is 1290993000.

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

• LCM of 897, 994, 950, 797, 950
• LCM of 338, 765, 511, 501, 227
• LCM of 947, 985, 391, 728, 284
• LCM of 210, 380, 776, 345, 364
• LCM of 833, 831, 886, 189, 815

1. What is the LCM of 750, 580, 456, 264, 213?

Answer: LCM of 750, 580, 456, 264, 213 is 1290993000.

2. How to calculate the LCM of 750, 580, 456, 264, 213?

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 750, 580, 456, 264, 213.

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}.