Given numbers are 763,528,816,341

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

The LCM of 763,528,816,341 is 212309328.

Find LCM of 763,528,816,341 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 11 x 763 x 1 x 17 x 31 = 212309328

Therefore, the lowest common multiple of 763,528,816,341 is 212309328.

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.

763 x 528 x 816 x 341 = 112099325184

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.

763 : 1, 7, 109, 763

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,528,816,341, is 1.

Now, the common factors can be found like this.

763:7x 109

528:2x 2x 2x 2x 3x 11

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

341:11x 31

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 3x 11 = 528

Therefore, the value for common factors is 528.

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 = 112099325184/(1x528)

LCM = 112099325184/528

LCM = 212309328

Thus, we can understand that the LCM of 763,528,816,341 is 212309328.

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

• LCM of 870, 466, 725, 467
• LCM of 897, 613, 939, 104
• LCM of 362, 671, 382, 652
• LCM of 186, 468, 291, 320
• LCM of 843, 964, 485, 504

1. What is the LCM of 763, 528, 816, 341?

Answer: LCM of 763, 528, 816, 341 is 212309328.

2. How to calculate the LCM of 763, 528, 816, 341?

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 763, 528, 816, 341.

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}.