Given numbers are 488,456,701,924,972

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

The LCM of 488,456,701,924,972 is 121615362792.

Find LCM of 488,456,701,924,972 with Prime Factorization

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

2 x 2 x 2 x 3 x 61 x 19 x 701 x 77 x 81 = 121615362792

Therefore, the lowest common multiple of 488,456,701,924,972 is 121615362792.

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.

488 x 456 x 701 x 924 x 972 = 140100897936384

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

701 : 1, 701

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

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,456,701,924,972, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

456:2x 2x 2x 3x 19

701:701

924:2x 2x 3x 7x 11

972:2x 2x 3x 3x 3x 3x 3

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 2x 2x 2x 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 140100897936384/(1x1152)

LCM = 140100897936384/1152

LCM = 121615362792

Thus, we can understand that the LCM of 488,456,701,924,972 is 121615362792.

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

• LCM of 128, 198, 523, 602, 901
• LCM of 347, 444, 160, 877, 136
• LCM of 934, 685, 365, 107, 426
• LCM of 710, 432, 333, 429, 786
• LCM of 378, 540, 301, 303, 778

1. What is the LCM of 488, 456, 701, 924, 972?

Answer: LCM of 488, 456, 701, 924, 972 is 121615362792.

2. How to calculate the LCM of 488, 456, 701, 924, 972?

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 488, 456, 701, 924, 972.

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}.