Given numbers are 816,128,220,876,629

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

The LCM of 816,128,220,876,629 is 969767040.

Find LCM of 816,128,220,876,629 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 17 x 1 x 8 x 55 x 73 x 37 = 969767040

Therefore, the lowest common multiple of 816,128,220,876,629 is 969767040.

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.

816 x 128 x 220 x 876 x 629 = 12661278474240

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.

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,128,220,876,629, is 1.

Now, the common factors can be found like this.

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

128:2x 2x 2x 2x 2x 2x 2

220:2x 2x 5x 11

876:2x 2x 3x 73

629:17x 37

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 2x 2x 2x 2x 3x 17 = 13056

Therefore, the value for common factors is 13056.

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 = 12661278474240/(1x13056)

LCM = 12661278474240/13056

LCM = 969767040

Thus, we can understand that the LCM of 816,128,220,876,629 is 969767040.

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

• LCM of 946, 684, 996, 943, 977
• LCM of 602, 735, 396, 140, 383
• LCM of 510, 649, 700, 748, 225
• LCM of 592, 451, 226, 734, 607
• LCM of 731, 930, 946, 299, 480

1. What is the LCM of 816, 128, 220, 876, 629?

Answer: LCM of 816, 128, 220, 876, 629 is 969767040.

2. How to calculate the LCM of 816, 128, 220, 876, 629?

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 816, 128, 220, 876, 629.

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}.