Given numbers are 214,418,979,924

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

The LCM of 214,418,979,924 is 167185788.

Find LCM of 214,418,979,924 with Prime Factorization

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

2 x 11 x 107 x 19 x 89 x 42 = 167185788

Therefore, the lowest common multiple of 214,418,979,924 is 167185788.

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.

214 x 418 x 979 x 924 = 80917921392

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.

214 : 1, 2, 107, 214

418 : 1, 2, 11, 19, 22, 38, 209, 418

979 : 1, 11, 89, 979

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,418,979,924, is 1.

Now, the common factors can be found like this.

214:2x 107

418:2x 11x 19

979:11x 89

924:2x 2x 3x 7x 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 11x 11 = 484

Therefore, the value for common factors is 484.

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 = 80917921392/(1x484)

LCM = 80917921392/484

LCM = 167185788

Thus, we can understand that the LCM of 214,418,979,924 is 167185788.

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

• LCM of 592, 364, 203, 590
• LCM of 113, 528, 865, 743
• LCM of 265, 243, 456, 200
• LCM of 945, 214, 847, 432
• LCM of 144, 331, 200, 993

1. What is the LCM of 214, 418, 979, 924?

Answer: LCM of 214, 418, 979, 924 is 167185788.

2. How to calculate the LCM of 214, 418, 979, 924?

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 214, 418, 979, 924.

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}.