Given numbers are 780,121,207,165,222

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

The LCM of 780,121,207,165,222 is 240952140.

Find LCM of 780,121,207,165,222 with Prime Factorization

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

2 x 3 x 5 x 11 x 26 x 1 x 69 x 11 x 37 = 240952140

Therefore, the lowest common multiple of 780,121,207,165,222 is 240952140.

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 121 x 207 x 165 x 222 = 715627855800

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

121 : 1, 11, 121

207 : 1, 3, 9, 23, 69, 207

165 : 1, 3, 5, 11, 15, 33, 55, 165

222 : 1, 2, 3, 6, 37, 74, 111, 222

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,121,207,165,222, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

121:11x 11

207:3x 3x 23

165:3x 5x 11

222:2x 3x 37

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 5x 11 = 2970

Therefore, the value for common factors is 2970.

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 = 715627855800/(1x2970)

LCM = 715627855800/2970

LCM = 240952140

Thus, we can understand that the LCM of 780,121,207,165,222 is 240952140.

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

• LCM of 474, 687, 354, 627, 127
• LCM of 134, 508, 359, 819, 990
• LCM of 556, 255, 187, 389, 711
• LCM of 783, 161, 989, 297, 615
• LCM of 137, 691, 939, 306, 988

1. What is the LCM of 780, 121, 207, 165, 222?

Answer: LCM of 780, 121, 207, 165, 222 is 240952140.

2. How to calculate the LCM of 780, 121, 207, 165, 222?

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, 121, 207, 165, 222.

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}.