Given numbers are 258,278,767,305

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

The LCM of 258,278,767,305 is 8389376970.

Find LCM of 258,278,767,305 with Prime Factorization

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

2 x 129 x 139 x 767 x 305 = 8389376970

Therefore, the lowest common multiple of 258,278,767,305 is 8389376970.

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 278 x 767 x 305 = 16778753940

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

278 : 1, 2, 139, 278

767 : 1, 13, 59, 767

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,278,767,305, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

278:2x 139

767:13x 59

305:5x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 16778753940/(1x2)

LCM = 16778753940/2

LCM = 8389376970

Thus, we can understand that the LCM of 258,278,767,305 is 8389376970.

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

• LCM of 513, 525, 285, 962
• LCM of 959, 142, 324, 790
• LCM of 522, 271, 660, 109
• LCM of 320, 200, 188, 908
• LCM of 969, 468, 514, 646

1. What is the LCM of 258, 278, 767, 305?

Answer: LCM of 258, 278, 767, 305 is 8389376970.

2. How to calculate the LCM of 258, 278, 767, 305?

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, 278, 767, 305.

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}.