Given numbers are 867,462,660,221,501

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

The LCM of 867,462,660,221,501 is 2898675780.

Find LCM of 867,462,660,221,501 with Prime Factorization

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

2 x 3 x 11 x 17 x 17 x 7 x 10 x 13 x 167 = 2898675780

Therefore, the lowest common multiple of 867,462,660,221,501 is 2898675780.

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.

867 x 462 x 660 x 221 x 501 = 29270828026440

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.

867 : 1, 3, 17, 51, 289, 867

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

221 : 1, 13, 17, 221

501 : 1, 3, 167, 501

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,462,660,221,501, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

462:2x 3x 7x 11

660:2x 2x 3x 5x 11

221:13x 17

501:3x 167

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 11x 17 = 10098

Therefore, the value for common factors is 10098.

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 = 29270828026440/(1x10098)

LCM = 29270828026440/10098

LCM = 2898675780

Thus, we can understand that the LCM of 867,462,660,221,501 is 2898675780.

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

• LCM of 289, 677, 456, 207, 713
• LCM of 468, 257, 418, 155, 275
• LCM of 880, 696, 479, 174, 185
• LCM of 784, 860, 692, 999, 407
• LCM of 700, 677, 580, 905, 926

1. What is the LCM of 867, 462, 660, 221, 501?

Answer: LCM of 867, 462, 660, 221, 501 is 2898675780.

2. How to calculate the LCM of 867, 462, 660, 221, 501?

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 867, 462, 660, 221, 501.

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}.