Given numbers are 714,948,418,114,250

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

The LCM of 714,948,418,114,250 is 2947213500.

Find LCM of 714,948,418,114,250 with Prime Factorization

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

2 x 3 x 19 x 119 x 158 x 11 x 1 x 125 = 2947213500

Therefore, the lowest common multiple of 714,948,418,114,250 is 2947213500.

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.

714 x 948 x 418 x 114 x 250 = 8063576136000

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

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

114 : 1, 2, 3, 6, 19, 38, 57, 114

250 : 1, 2, 5, 10, 25, 50, 125, 250

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,948,418,114,250, is 2.

Now, the common factors can be found like this.

714:2x 3x 7x 17

948:2x 2x 3x 79

418:2x 11x 19

114:2x 3x 19

250:2x 5x 5x 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 2x 2x 3x 3x 19 = 1368

Therefore, the value for common factors is 1368.

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 = 8063576136000/(2x1368)

LCM = 8063576136000/2736

LCM = 2947213500

Thus, we can understand that the LCM of 714,948,418,114,250 is 2947213500.

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

• LCM of 313, 294, 511, 154, 343
• LCM of 279, 109, 438, 174, 627
• LCM of 878, 359, 337, 588, 168
• LCM of 430, 109, 494, 420, 200
• LCM of 722, 584, 429, 623, 912

1. What is the LCM of 714, 948, 418, 114, 250?

Answer: LCM of 714, 948, 418, 114, 250 is 2947213500.

2. How to calculate the LCM of 714, 948, 418, 114, 250?

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 714, 948, 418, 114, 250.

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}.