Given numbers are 364,444,409,532,974

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

The LCM of 364,444,409,532,974 is 152908008708.

Find LCM of 364,444,409,532,974 with Prime Factorization

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

2 x 2 x 7 x 13 x 111 x 409 x 19 x 487 = 152908008708

Therefore, the lowest common multiple of 364,444,409,532,974 is 152908008708.

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.

364 x 444 x 409 x 532 x 974 = 34251393950592

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

409 : 1, 409

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,444,409,532,974, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

444:2x 2x 3x 37

409:409

532:2x 2x 7x 19

974:2x 487

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 7 = 224

Therefore, the value for common factors is 224.

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 = 34251393950592/(1x224)

LCM = 34251393950592/224

LCM = 152908008708

Thus, we can understand that the LCM of 364,444,409,532,974 is 152908008708.

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

• LCM of 840, 524, 594, 428, 903
• LCM of 499, 707, 916, 580, 416
• LCM of 537, 448, 532, 173, 281
• LCM of 903, 606, 787, 198, 108
• LCM of 114, 107, 481, 140, 715

1. What is the LCM of 364, 444, 409, 532, 974?

Answer: LCM of 364, 444, 409, 532, 974 is 152908008708.

2. How to calculate the LCM of 364, 444, 409, 532, 974?

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 364, 444, 409, 532, 974.

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}.