Given numbers are 322,119,508,756,509

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

The LCM of 322,119,508,756,509 is 19108212228.

Find LCM of 322,119,508,756,509 with Prime Factorization

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

2 x 2 x 7 x 23 x 17 x 127 x 27 x 509 = 19108212228

Therefore, the lowest common multiple of 322,119,508,756,509 is 19108212228.

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.

322 x 119 x 508 x 756 x 509 = 7490419193376

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

119 : 1, 7, 17, 119

508 : 1, 2, 4, 127, 254, 508

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

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,119,508,756,509, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

119:7x 17

508:2x 2x 127

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

509:509

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 7x 7 = 392

Therefore, the value for common factors is 392.

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 = 7490419193376/(1x392)

LCM = 7490419193376/392

LCM = 19108212228

Thus, we can understand that the LCM of 322,119,508,756,509 is 19108212228.

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

• LCM of 324, 255, 375, 415, 613
• LCM of 132, 365, 916, 166, 333
• LCM of 941, 914, 351, 364, 543
• LCM of 498, 114, 804, 516, 688
• LCM of 778, 809, 134, 169, 834

1. What is the LCM of 322, 119, 508, 756, 509?

Answer: LCM of 322, 119, 508, 756, 509 is 19108212228.

2. How to calculate the LCM of 322, 119, 508, 756, 509?

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 322, 119, 508, 756, 509.

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}.