Given numbers are 945,411,408,754,924

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

The LCM of 945,411,408,754,924 is 73017224280.

Find LCM of 945,411,408,754,924 with Prime Factorization

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

2 x 2 x 3 x 7 x 45 x 137 x 34 x 377 x 11 = 73017224280

Therefore, the lowest common multiple of 945,411,408,754,924 is 73017224280.

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.

945 x 411 x 408 x 754 x 924 = 110402043111360

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.

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

411 : 1, 3, 137, 411

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

754 : 1, 2, 13, 26, 29, 58, 377, 754

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,411,408,754,924, is 1.

Now, the common factors can be found like this.

945:3x 3x 3x 5x 7

411:3x 137

408:2x 2x 2x 3x 17

754:2x 13x 29

924:2x 2x 3x 7x 11

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 3x 3x 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 110402043111360/(1x1512)

LCM = 110402043111360/1512

LCM = 73017224280

Thus, we can understand that the LCM of 945,411,408,754,924 is 73017224280.

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

• LCM of 887, 606, 424, 571, 369
• LCM of 197, 238, 377, 390, 124
• LCM of 724, 401, 649, 162, 640
• LCM of 795, 143, 884, 559, 586
• LCM of 333, 439, 830, 927, 469

1. What is the LCM of 945, 411, 408, 754, 924?

Answer: LCM of 945, 411, 408, 754, 924 is 73017224280.

2. How to calculate the LCM of 945, 411, 408, 754, 924?

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 945, 411, 408, 754, 924.

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}.