Given numbers are 312,803,728,107,968

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

The LCM of 312,803,728,107,968 is 2064166104.

Find LCM of 312,803,728,107,968 with Prime Factorization

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

2 x 2 x 2 x 11 x 13 x 3 x 73 x 7 x 107 x 11 = 2064166104

Therefore, the lowest common multiple of 312,803,728,107,968 is 2064166104.

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.

312 x 803 x 728 x 107 x 968 = 18891248183808

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

803 : 1, 11, 73, 803

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

107 : 1, 107

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,803,728,107,968, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

803:11x 73

728:2x 2x 2x 7x 13

107:107

968:2x 2x 2x 11x 11

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 11x 13 = 9152

Therefore, the value for common factors is 9152.

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 = 18891248183808/(1x9152)

LCM = 18891248183808/9152

LCM = 2064166104

Thus, we can understand that the LCM of 312,803,728,107,968 is 2064166104.

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

• LCM of 169, 970, 164, 345, 747
• LCM of 579, 756, 414, 347, 444
• LCM of 806, 522, 300, 406, 843
• LCM of 750, 623, 556, 971, 790
• LCM of 815, 547, 744, 924, 644

1. What is the LCM of 312, 803, 728, 107, 968?

Answer: LCM of 312, 803, 728, 107, 968 is 2064166104.

2. How to calculate the LCM of 312, 803, 728, 107, 968?

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 312, 803, 728, 107, 968.

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}.