Given numbers are 410,816,546,252

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

The LCM of 410,816,546,252 is 45667440.

Find LCM of 410,816,546,252 with Prime Factorization

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

2 x 2 x 3 x 7 x 205 x 68 x 13 x 3 = 45667440

Therefore, the lowest common multiple of 410,816,546,252 is 45667440.

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.

410 x 816 x 546 x 252 = 46032779520

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.

410 : 1, 2, 5, 10, 41, 82, 205, 410

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,816,546,252, is 2.

Now, the common factors can be found like this.

410:2x 5x 41

816:2x 2x 2x 2x 3x 17

546:2x 3x 7x 13

252:2x 2x 3x 3x 7

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 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 46032779520/(2x504)

LCM = 46032779520/1008

LCM = 45667440

Thus, we can understand that the LCM of 410,816,546,252 is 45667440.

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

• LCM of 846, 881, 615, 720
• LCM of 384, 141, 207, 670
• LCM of 861, 941, 837, 838
• LCM of 505, 200, 438, 877
• LCM of 661, 772, 212, 525

1. What is the LCM of 410, 816, 546, 252?

Answer: LCM of 410, 816, 546, 252 is 45667440.

2. How to calculate the LCM of 410, 816, 546, 252?

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 410, 816, 546, 252.

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}.