Given numbers are 909,642,624,224,398

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

The LCM of 909,642,624,224,398 is 56362741344.

Find LCM of 909,642,624,224,398 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 303 x 107 x 13 x 14 x 199 = 56362741344

Therefore, the lowest common multiple of 909,642,624,224,398 is 56362741344.

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.

909 x 642 x 624 x 224 x 398 = 32464939014144

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.

909 : 1, 3, 9, 101, 303, 909

642 : 1, 2, 3, 6, 107, 214, 321, 642

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

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,642,624,224,398, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

642:2x 3x 107

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

224:2x 2x 2x 2x 2x 7

398:2x 199

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 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 32464939014144/(1x576)

LCM = 32464939014144/576

LCM = 56362741344

Thus, we can understand that the LCM of 909,642,624,224,398 is 56362741344.

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

• LCM of 252, 851, 183, 535, 866
• LCM of 101, 537, 448, 318, 909
• LCM of 187, 825, 952, 111, 510
• LCM of 749, 319, 333, 370, 966
• LCM of 613, 234, 274, 996, 986

1. What is the LCM of 909, 642, 624, 224, 398?

Answer: LCM of 909, 642, 624, 224, 398 is 56362741344.

2. How to calculate the LCM of 909, 642, 624, 224, 398?

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 909, 642, 624, 224, 398.

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}.