Given numbers are 218,936,365,968

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

The LCM of 218,936,365,968 is 4505889960.

Find LCM of 218,936,365,968 with Prime Factorization

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

2 x 2 x 2 x 109 x 117 x 365 x 121 = 4505889960

Therefore, the lowest common multiple of 218,936,365,968 is 4505889960.

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.

218 x 936 x 365 x 968 = 72094239360

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.

218 : 1, 2, 109, 218

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

365 : 1, 5, 73, 365

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 218,936,365,968, is 1.

Now, the common factors can be found like this.

218:2x 109

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

365:5x 73

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 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 = 72094239360/(1x16)

LCM = 72094239360/16

LCM = 4505889960

Thus, we can understand that the LCM of 218,936,365,968 is 4505889960.

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

• LCM of 290, 761, 750, 232
• LCM of 186, 424, 155, 485
• LCM of 714, 455, 264, 521
• LCM of 195, 859, 707, 493
• LCM of 284, 959, 800, 910

1. What is the LCM of 218, 936, 365, 968?

Answer: LCM of 218, 936, 365, 968 is 4505889960.

2. How to calculate the LCM of 218, 936, 365, 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 218, 936, 365, 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}.