Given numbers are 364,956,546,440

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

The LCM of 364,956,546,440 is 28708680.

Find LCM of 364,956,546,440 with Prime Factorization

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

2 x 2 x 7 x 13 x 1 x 239 x 3 x 110 = 28708680

Therefore, the lowest common multiple of 364,956,546,440 is 28708680.

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 956 x 546 x 440 = 83599676160

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

956 : 1, 2, 4, 239, 478, 956

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,956,546,440, is 2.

Now, the common factors can be found like this.

364:2x 2x 7x 13

956:2x 2x 239

546:2x 3x 7x 13

440:2x 2x 2x 5x 11

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 7x 13 = 1456

Therefore, the value for common factors is 1456.

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 = 83599676160/(2x1456)

LCM = 83599676160/2912

LCM = 28708680

Thus, we can understand that the LCM of 364,956,546,440 is 28708680.

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

• LCM of 503, 872, 999, 470
• LCM of 384, 437, 318, 709
• LCM of 350, 886, 148, 703
• LCM of 275, 723, 182, 712
• LCM of 660, 764, 663, 974

1. What is the LCM of 364, 956, 546, 440?

Answer: LCM of 364, 956, 546, 440 is 28708680.

2. How to calculate the LCM of 364, 956, 546, 440?

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, 956, 546, 440.

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}.