Given numbers are 364,136,346,900,780

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

The LCM of 364,136,346,900,780 is 481735800.

Find LCM of 364,136,346,900,780 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 7 x 34 x 173 x 15 x 1 = 481735800

Therefore, the lowest common multiple of 364,136,346,900,780 is 481735800.

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.

364 x 136 x 346 x 900 x 780 = 12024125568000

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

136 : 1, 2, 4, 8, 17, 34, 68, 136

346 : 1, 2, 173, 346

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,136,346,900,780, is 2.

Now, the common factors can be found like this.

364:2x 2x 7x 13

136:2x 2x 2x 17

346:2x 173

900:2x 2x 3x 3x 5x 5

780:2x 2x 3x 5x 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 2x 2x 2x 2x 3x 5x 13 = 12480

Therefore, the value for common factors is 12480.

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 = 12024125568000/(2x12480)

LCM = 12024125568000/24960

LCM = 481735800

Thus, we can understand that the LCM of 364,136,346,900,780 is 481735800.

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

• LCM of 315, 808, 927, 189, 994
• LCM of 147, 783, 185, 892, 274
• LCM of 444, 374, 608, 128, 461
• LCM of 330, 229, 466, 422, 671
• LCM of 607, 406, 385, 954, 609

1. What is the LCM of 364, 136, 346, 900, 780?

Answer: LCM of 364, 136, 346, 900, 780 is 481735800.

2. How to calculate the LCM of 364, 136, 346, 900, 780?

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 364, 136, 346, 900, 780.

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}.