Given numbers are 365,636,210,378,975

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

The LCM of 365,636,210,378,975 is 950613300.

Find LCM of 365,636,210,378,975 with Prime Factorization

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

2 x 3 x 5 x 7 x 73 x 106 x 1 x 9 x 65 = 950613300

Therefore, the lowest common multiple of 365,636,210,378,975 is 950613300.

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.

365 x 636 x 210 x 378 x 975 = 17966591370000

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.

365 : 1, 5, 73, 365

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,636,210,378,975, is 1.

Now, the common factors can be found like this.

365:5x 73

636:2x 2x 3x 53

210:2x 3x 5x 7

378:2x 3x 3x 3x 7

975:3x 5x 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 3x 3x 3x 5x 5x 7 = 18900

Therefore, the value for common factors is 18900.

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 = 17966591370000/(1x18900)

LCM = 17966591370000/18900

LCM = 950613300

Thus, we can understand that the LCM of 365,636,210,378,975 is 950613300.

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

• LCM of 115, 831, 351, 731, 444
• LCM of 290, 276, 286, 330, 156
• LCM of 280, 618, 670, 894, 955
• LCM of 249, 965, 622, 763, 243
• LCM of 152, 533, 110, 616, 597

1. What is the LCM of 365, 636, 210, 378, 975?

Answer: LCM of 365, 636, 210, 378, 975 is 950613300.

2. How to calculate the LCM of 365, 636, 210, 378, 975?

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 365, 636, 210, 378, 975.

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}.