Given numbers are 949,138,891,960

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

The LCM of 949,138,891,960 is 6223314240.

Find LCM of 949,138,891,960 with Prime Factorization

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

2 x 3 x 949 x 23 x 297 x 160 = 6223314240

Therefore, the lowest common multiple of 949,138,891,960 is 6223314240.

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.

949 x 138 x 891 x 960 = 112019656320

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.

949 : 1, 13, 73, 949

138 : 1, 2, 3, 6, 23, 46, 69, 138

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,138,891,960, is 1.

Now, the common factors can be found like this.

949:13x 73

138:2x 3x 23

891:3x 3x 3x 3x 11

960:2x 2x 2x 2x 2x 2x 3x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 112019656320/(1x18)

LCM = 112019656320/18

LCM = 6223314240

Thus, we can understand that the LCM of 949,138,891,960 is 6223314240.

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

• LCM of 873, 915, 247, 182
• LCM of 724, 724, 120, 507
• LCM of 870, 882, 559, 141
• LCM of 914, 767, 436, 119
• LCM of 118, 413, 177, 422

1. What is the LCM of 949, 138, 891, 960?

Answer: LCM of 949, 138, 891, 960 is 6223314240.

2. How to calculate the LCM of 949, 138, 891, 960?

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 949, 138, 891, 960.

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}.