Given numbers are 780,321,972,225,117

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

The LCM of 780,321,972,225,117 is 33801300.

Find LCM of 780,321,972,225,117 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 13 x 1 x 107 x 27 x 5 x 1 = 33801300

Therefore, the lowest common multiple of 780,321,972,225,117 is 33801300.

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.

780 x 321 x 972 x 225 x 117 = 6406698402000

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

321 : 1, 3, 107, 321

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

117 : 1, 3, 9, 13, 39, 117

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,321,972,225,117, is 3.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

321:3x 107

972:2x 2x 3x 3x 3x 3x 3

225:3x 3x 5x 5

117:3x 3x 13

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 3x 3x 3x 3x 3x 5x 13 = 63180

Therefore, the value for common factors is 63180.

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 = 6406698402000/(3x63180)

LCM = 6406698402000/189540

LCM = 33801300

Thus, we can understand that the LCM of 780,321,972,225,117 is 33801300.

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

• LCM of 477, 474, 372, 829, 505
• LCM of 486, 960, 647, 629, 632
• LCM of 181, 576, 481, 298, 271
• LCM of 840, 390, 214, 799, 581
• LCM of 802, 362, 112, 780, 326

1. What is the LCM of 780, 321, 972, 225, 117?

Answer: LCM of 780, 321, 972, 225, 117 is 33801300.

2. How to calculate the LCM of 780, 321, 972, 225, 117?

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 780, 321, 972, 225, 117.

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}.