Given numbers are 906,201,912,649,420

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

The LCM of 906,201,912,649,420 is 209584581360.

Find LCM of 906,201,912,649,420 with Prime Factorization

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

2 x 2 x 3 x 151 x 67 x 76 x 649 x 35 = 209584581360

Therefore, the lowest common multiple of 906,201,912,649,420 is 209584581360.

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.

906 x 201 x 912 x 649 x 420 = 45270269573760

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.

906 : 1, 2, 3, 6, 151, 302, 453, 906

201 : 1, 3, 67, 201

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

649 : 1, 11, 59, 649

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,201,912,649,420, is 1.

Now, the common factors can be found like this.

906:2x 3x 151

201:3x 67

912:2x 2x 2x 2x 3x 19

649:11x 59

420:2x 2x 3x 5x 7

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 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 45270269573760/(1x216)

LCM = 45270269573760/216

LCM = 209584581360

Thus, we can understand that the LCM of 906,201,912,649,420 is 209584581360.

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

• LCM of 342, 553, 493, 398, 728
• LCM of 717, 429, 957, 221, 702
• LCM of 393, 505, 119, 520, 487
• LCM of 462, 342, 639, 933, 695
• LCM of 362, 443, 247, 970, 447

1. What is the LCM of 906, 201, 912, 649, 420?

Answer: LCM of 906, 201, 912, 649, 420 is 209584581360.

2. How to calculate the LCM of 906, 201, 912, 649, 420?

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 906, 201, 912, 649, 420.

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}.