Given numbers are 924,486,497,917,952

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

The LCM of 924,486,497,917,952 is 23668217496.

Find LCM of 924,486,497,917,952 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 81 x 71 x 131 x 34 = 23668217496

Therefore, the lowest common multiple of 924,486,497,917,952 is 23668217496.

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 486 x 497 x 917 x 952 = 194836766427072

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

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

497 : 1, 7, 71, 497

917 : 1, 7, 131, 917

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,486,497,917,952, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

486:2x 3x 3x 3x 3x 3

497:7x 71

917:7x 131

952:2x 2x 2x 7x 17

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 7x 7x 7 = 8232

Therefore, the value for common factors is 8232.

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 = 194836766427072/(1x8232)

LCM = 194836766427072/8232

LCM = 23668217496

Thus, we can understand that the LCM of 924,486,497,917,952 is 23668217496.

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

• LCM of 695, 543, 144, 659, 775
• LCM of 336, 550, 592, 436, 143
• LCM of 841, 539, 261, 212, 746
• LCM of 953, 878, 468, 623, 224
• LCM of 593, 482, 899, 104, 300

1. What is the LCM of 924, 486, 497, 917, 952?

Answer: LCM of 924, 486, 497, 917, 952 is 23668217496.

2. How to calculate the LCM of 924, 486, 497, 917, 952?

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, 486, 497, 917, 952.

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}.