Given numbers are 909,638,121,350,464

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

The LCM of 909,638,121,350,464 is 8931106800.

Find LCM of 909,638,121,350,464 with Prime Factorization

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

2 x 11 x 29 x 909 x 1 x 11 x 175 x 8 = 8931106800

Therefore, the lowest common multiple of 909,638,121,350,464 is 8931106800.

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 638 x 121 x 350 x 464 = 11396092276800

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

121 : 1, 11, 121

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,638,121,350,464, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

638:2x 11x 29

121:11x 11

350:2x 5x 5x 7

464:2x 2x 2x 2x 29

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 11x 29 = 1276

Therefore, the value for common factors is 1276.

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 = 11396092276800/(1x1276)

LCM = 11396092276800/1276

LCM = 8931106800

Thus, we can understand that the LCM of 909,638,121,350,464 is 8931106800.

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

• LCM of 552, 959, 607, 649, 354
• LCM of 803, 733, 803, 974, 385
• LCM of 211, 655, 508, 717, 399
• LCM of 279, 579, 798, 274, 685
• LCM of 893, 553, 233, 684, 837

1. What is the LCM of 909, 638, 121, 350, 464?

Answer: LCM of 909, 638, 121, 350, 464 is 8931106800.

2. How to calculate the LCM of 909, 638, 121, 350, 464?

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, 638, 121, 350, 464.

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}.