Given numbers are 924,242,209,677,462

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

The LCM of 924,242,209,677,462 is 130739532.

Find LCM of 924,242,209,677,462 with Prime Factorization

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

2 x 3 x 7 x 11 x 2 x 1 x 19 x 677 x 11 = 130739532

Therefore, the lowest common multiple of 924,242,209,677,462 is 130739532.

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 242 x 209 x 677 x 462 = 14617202635728

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

242 : 1, 2, 11, 22, 121, 242

209 : 1, 11, 19, 209

677 : 1, 677

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,242,209,677,462, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

242:2x 11x 11

209:11x 19

677:677

462:2x 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 3x 7x 11x 11x 11 = 111804

Therefore, the value for common factors is 111804.

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 = 14617202635728/(1x111804)

LCM = 14617202635728/111804

LCM = 130739532

Thus, we can understand that the LCM of 924,242,209,677,462 is 130739532.

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

• LCM of 463, 128, 498, 424, 364
• LCM of 968, 681, 611, 119, 962
• LCM of 478, 250, 470, 520, 189
• LCM of 543, 773, 929, 810, 636
• LCM of 918, 124, 263, 342, 413

1. What is the LCM of 924, 242, 209, 677, 462?

Answer: LCM of 924, 242, 209, 677, 462 is 130739532.

2. How to calculate the LCM of 924, 242, 209, 677, 462?

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, 242, 209, 677, 462.

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}.