Given numbers are 624,432,339,974

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

The LCM of 624,432,339,974 is 309054096.

Find LCM of 624,432,339,974 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 13 x 9 x 113 x 487 = 309054096

Therefore, the lowest common multiple of 624,432,339,974 is 309054096.

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.

624 x 432 x 339 x 974 = 89007579648

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

339 : 1, 3, 113, 339

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,432,339,974, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

432:2x 2x 2x 2x 3x 3x 3

339:3x 113

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 89007579648/(1x288)

LCM = 89007579648/288

LCM = 309054096

Thus, we can understand that the LCM of 624,432,339,974 is 309054096.

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

• LCM of 736, 652, 736, 944
• LCM of 594, 340, 327, 191
• LCM of 949, 166, 110, 541
• LCM of 804, 704, 427, 347
• LCM of 946, 285, 174, 823

1. What is the LCM of 624, 432, 339, 974?

Answer: LCM of 624, 432, 339, 974 is 309054096.

2. How to calculate the LCM of 624, 432, 339, 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 624, 432, 339, 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}.