Given numbers are 258,756,219,420,984

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

The LCM of 258,756,219,420,984 is 972964440.

Find LCM of 258,756,219,420,984 with Prime Factorization

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

2 x 2 x 3 x 7 x 43 x 9 x 73 x 5 x 82 = 972964440

Therefore, the lowest common multiple of 258,756,219,420,984 is 972964440.

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.

258 x 756 x 219 x 420 x 984 = 17653466799360

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

219 : 1, 3, 73, 219

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,756,219,420,984, is 3.

Now, the common factors can be found like this.

258:2x 3x 43

756:2x 2x 3x 3x 3x 7

219:3x 73

420:2x 2x 3x 5x 7

984:2x 2x 2x 3x 41

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 3x 3x 3x 7 = 6048

Therefore, the value for common factors is 6048.

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 = 17653466799360/(3x6048)

LCM = 17653466799360/18144

LCM = 972964440

Thus, we can understand that the LCM of 258,756,219,420,984 is 972964440.

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

• LCM of 172, 953, 221, 108, 343
• LCM of 450, 581, 157, 148, 222
• LCM of 262, 416, 315, 307, 902
• LCM of 151, 847, 791, 577, 124
• LCM of 736, 432, 952, 159, 461

1. What is the LCM of 258, 756, 219, 420, 984?

Answer: LCM of 258, 756, 219, 420, 984 is 972964440.

2. How to calculate the LCM of 258, 756, 219, 420, 984?

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 258, 756, 219, 420, 984.

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}.