Given numbers are 968,214,936,968

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

The LCM of 968,214,936,968 is 12118392.

Find LCM of 968,214,936,968 with Prime Factorization

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

2 x 2 x 2 x 11 x 11 x 1 x 107 x 117 x 1 = 12118392

Therefore, the lowest common multiple of 968,214,936,968 is 12118392.

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.

968 x 214 x 936 x 968 = 187689655296

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.

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

214 : 1, 2, 107, 214

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,214,936,968, is 2.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

214:2x 107

936:2x 2x 2x 3x 3x 13

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 11 = 7744

Therefore, the value for common factors is 7744.

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 = 187689655296/(2x7744)

LCM = 187689655296/15488

LCM = 12118392

Thus, we can understand that the LCM of 968,214,936,968 is 12118392.

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

• LCM of 599, 548, 785, 852
• LCM of 372, 970, 592, 794
• LCM of 909, 943, 348, 484
• LCM of 302, 795, 910, 255
• LCM of 769, 755, 400, 261

1. What is the LCM of 968, 214, 936, 968?

Answer: LCM of 968, 214, 936, 968 is 12118392.

2. How to calculate the LCM of 968, 214, 936, 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 968, 214, 936, 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}.