Given numbers are 966,352,700,777

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

The LCM of 966,352,700,777 is 157264800.

Find LCM of 966,352,700,777 with Prime Factorization

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

2 x 2 x 3 x 7 x 23 x 88 x 25 x 37 = 157264800

Therefore, the lowest common multiple of 966,352,700,777 is 157264800.

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.

966 x 352 x 700 x 777 = 184943404800

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.

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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 966,352,700,777, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

352:2x 2x 2x 2x 2x 11

700:2x 2x 5x 5x 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 3x 7x 7 = 1176

Therefore, the value for common factors is 1176.

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 = 184943404800/(1x1176)

LCM = 184943404800/1176

LCM = 157264800

Thus, we can understand that the LCM of 966,352,700,777 is 157264800.

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

• LCM of 756, 733, 714, 552
• LCM of 260, 541, 935, 744
• LCM of 596, 971, 451, 933
• LCM of 901, 403, 685, 314
• LCM of 615, 858, 784, 166

1. What is the LCM of 966, 352, 700, 777?

Answer: LCM of 966, 352, 700, 777 is 157264800.

2. How to calculate the LCM of 966, 352, 700, 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 966, 352, 700, 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}.