Given numbers are 465,756,208,818

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

The LCM of 465,756,208,818 is 2492184240.

Find LCM of 465,756,208,818 with Prime Factorization

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

2 x 2 x 3 x 155 x 63 x 52 x 409 = 2492184240

Therefore, the lowest common multiple of 465,756,208,818 is 2492184240.

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.

465 x 756 x 208 x 818 = 59812421760

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.

465 : 1, 3, 5, 15, 31, 93, 155, 465

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

818 : 1, 2, 409, 818

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,756,208,818, is 1.

Now, the common factors can be found like this.

465:3x 5x 31

756:2x 2x 3x 3x 3x 7

208:2x 2x 2x 2x 13

818:2x 409

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 3 = 24

Therefore, the value for common factors is 24.

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 = 59812421760/(1x24)

LCM = 59812421760/24

LCM = 2492184240

Thus, we can understand that the LCM of 465,756,208,818 is 2492184240.

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

• LCM of 163, 150, 204, 986
• LCM of 760, 978, 929, 695
• LCM of 558, 314, 188, 943
• LCM of 533, 696, 482, 123
• LCM of 907, 335, 838, 768

1. What is the LCM of 465, 756, 208, 818?

Answer: LCM of 465, 756, 208, 818 is 2492184240.

2. How to calculate the LCM of 465, 756, 208, 818?

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 465, 756, 208, 818.

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}.