Given numbers are 624,426,146,398,306

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

The LCM of 624,426,146,398,306 is 32823814608.

Find LCM of 624,426,146,398,306 with Prime Factorization

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

2 x 3 x 104 x 71 x 73 x 199 x 51 = 32823814608

Therefore, the lowest common multiple of 624,426,146,398,306 is 32823814608.

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 426 x 146 x 398 x 306 = 4726629303552

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

426 : 1, 2, 3, 6, 71, 142, 213, 426

146 : 1, 2, 73, 146

398 : 1, 2, 199, 398

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,426,146,398,306, is 2.

Now, the common factors can be found like this.

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

426:2x 3x 71

146:2x 73

398:2x 199

306:2x 3x 3x 17

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 4726629303552/(2x72)

LCM = 4726629303552/144

LCM = 32823814608

Thus, we can understand that the LCM of 624,426,146,398,306 is 32823814608.

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

• LCM of 131, 824, 722, 969, 540
• LCM of 169, 835, 561, 926, 233
• LCM of 763, 330, 228, 372, 720
• LCM of 928, 202, 737, 432, 976
• LCM of 523, 974, 954, 510, 467

1. What is the LCM of 624, 426, 146, 398, 306?

Answer: LCM of 624, 426, 146, 398, 306 is 32823814608.

2. How to calculate the LCM of 624, 426, 146, 398, 306?

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, 426, 146, 398, 306.

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}.