Given numbers are 388,980,108,672,777

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

The LCM of 388,980,108,672,777 is 759719520.

Find LCM of 388,980,108,672,777 with Prime Factorization

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

2 x 2 x 3 x 7 x 97 x 35 x 9 x 8 x 37 = 759719520

Therefore, the lowest common multiple of 388,980,108,672,777 is 759719520.

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.

388 x 980 x 108 x 672 x 777 = 21442323732480

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.

388 : 1, 2, 4, 97, 194, 388

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

777 : 1, 3, 7, 21, 37, 111, 259, 777

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,980,108,672,777, is 1.

Now, the common factors can be found like this.

388:2x 2x 97

980:2x 2x 5x 7x 7

108:2x 2x 3x 3x 3

672:2x 2x 2x 2x 2x 3x 7

777:3x 7x 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 3x 3x 7x 7 = 28224

Therefore, the value for common factors is 28224.

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 = 21442323732480/(1x28224)

LCM = 21442323732480/28224

LCM = 759719520

Thus, we can understand that the LCM of 388,980,108,672,777 is 759719520.

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

• LCM of 403, 168, 988, 905, 767
• LCM of 963, 780, 406, 538, 339
• LCM of 172, 384, 329, 584, 123
• LCM of 884, 445, 721, 895, 727
• LCM of 948, 389, 196, 865, 275

1. What is the LCM of 388, 980, 108, 672, 777?

Answer: LCM of 388, 980, 108, 672, 777 is 759719520.

2. How to calculate the LCM of 388, 980, 108, 672, 777?

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 388, 980, 108, 672, 777.

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}.