Given numbers are 924,361,759,140,572

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

The LCM of 924,361,759,140,572 is 498678180.

Find LCM of 924,361,759,140,572 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 1 x 361 x 23 x 5 x 13 = 498678180

Therefore, the lowest common multiple of 924,361,759,140,572 is 498678180.

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.

924 x 361 x 759 x 140 x 572 = 20274260086080

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.

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

361 : 1, 19, 361

759 : 1, 3, 11, 23, 33, 69, 253, 759

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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 924,361,759,140,572, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

361:19x 19

759:3x 11x 23

140:2x 2x 5x 7

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 7x 11x 11 = 40656

Therefore, the value for common factors is 40656.

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 = 20274260086080/(1x40656)

LCM = 20274260086080/40656

LCM = 498678180

Thus, we can understand that the LCM of 924,361,759,140,572 is 498678180.

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

• LCM of 719, 435, 523, 712, 710
• LCM of 235, 294, 131, 220, 843
• LCM of 605, 166, 704, 412, 517
• LCM of 711, 978, 324, 442, 826
• LCM of 166, 272, 649, 314, 253

1. What is the LCM of 924, 361, 759, 140, 572?

Answer: LCM of 924, 361, 759, 140, 572 is 498678180.

2. How to calculate the LCM of 924, 361, 759, 140, 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 924, 361, 759, 140, 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}.