Given numbers are 930,225,128,758,572

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

The LCM of 930,225,128,758,572 is 48387081600.

Find LCM of 930,225,128,758,572 with Prime Factorization

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

2 x 2 x 3 x 5 x 31 x 15 x 32 x 379 x 143 = 48387081600

Therefore, the lowest common multiple of 930,225,128,758,572 is 48387081600.

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.

930 x 225 x 128 x 758 x 572 = 11612899584000

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

128 : 1, 2, 4, 8, 16, 32, 64, 128

758 : 1, 2, 379, 758

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,225,128,758,572, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

225:3x 3x 5x 5

128:2x 2x 2x 2x 2x 2x 2

758:2x 379

572:2x 2x 11x 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 3x 5 = 240

Therefore, the value for common factors is 240.

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 = 11612899584000/(1x240)

LCM = 11612899584000/240

LCM = 48387081600

Thus, we can understand that the LCM of 930,225,128,758,572 is 48387081600.

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

• LCM of 198, 647, 244, 529, 245
• LCM of 796, 870, 360, 126, 362
• LCM of 914, 232, 487, 352, 790
• LCM of 340, 498, 493, 520, 174
• LCM of 865, 793, 551, 675, 363

1. What is the LCM of 930, 225, 128, 758, 572?

Answer: LCM of 930, 225, 128, 758, 572 is 48387081600.

2. How to calculate the LCM of 930, 225, 128, 758, 572?

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 930, 225, 128, 758, 572.

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}.