Given numbers are 974,404,918,990

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

The LCM of 974,404,918,990 is 4966903260.

Find LCM of 974,404,918,990 with Prime Factorization

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

2 x 3 x 3 x 487 x 202 x 51 x 55 = 4966903260

Therefore, the lowest common multiple of 974,404,918,990 is 4966903260.

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.

974 x 404 x 918 x 990 = 357617034720

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.

974 : 1, 2, 487, 974

404 : 1, 2, 4, 101, 202, 404

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,404,918,990, is 2.

Now, the common factors can be found like this.

974:2x 487

404:2x 2x 101

918:2x 3x 3x 3x 17

990:2x 3x 3x 5x 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 3 = 36

Therefore, the value for common factors is 36.

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 = 357617034720/(2x36)

LCM = 357617034720/72

LCM = 4966903260

Thus, we can understand that the LCM of 974,404,918,990 is 4966903260.

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

• LCM of 648, 968, 437, 499
• LCM of 671, 102, 633, 736
• LCM of 754, 734, 365, 332
• LCM of 548, 148, 424, 581
• LCM of 383, 318, 908, 829

1. What is the LCM of 974, 404, 918, 990?

Answer: LCM of 974, 404, 918, 990 is 4966903260.

2. How to calculate the LCM of 974, 404, 918, 990?

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 974, 404, 918, 990.

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}.