Given numbers are 864,890,968,107

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

The LCM of 864,890,968,107 is 4977862560.

Find LCM of 864,890,968,107 with Prime Factorization

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

2 x 2 x 2 x 108 x 445 x 121 x 107 = 4977862560

Therefore, the lowest common multiple of 864,890,968,107 is 4977862560.

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.

864 x 890 x 968 x 107 = 79645800960

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

890 : 1, 2, 5, 10, 89, 178, 445, 890

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

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,890,968,107, is 1.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

890:2x 5x 89

968:2x 2x 2x 11x 11

107:107

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 2 = 16

Therefore, the value for common factors is 16.

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 = 79645800960/(1x16)

LCM = 79645800960/16

LCM = 4977862560

Thus, we can understand that the LCM of 864,890,968,107 is 4977862560.

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

• LCM of 545, 928, 677, 240
• LCM of 843, 486, 530, 607
• LCM of 147, 779, 820, 355
• LCM of 756, 887, 334, 149
• LCM of 788, 585, 837, 568

1. What is the LCM of 864, 890, 968, 107?

Answer: LCM of 864, 890, 968, 107 is 4977862560.

2. How to calculate the LCM of 864, 890, 968, 107?

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 864, 890, 968, 107.

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}.