Given numbers are 474,780,408,958,257

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

The LCM of 474,780,408,958,257 is 257910633240.

Find LCM of 474,780,408,958,257 with Prime Factorization

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

2 x 2 x 3 x 79 x 65 x 34 x 479 x 257 = 257910633240

Therefore, the lowest common multiple of 474,780,408,958,257 is 257910633240.

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.

474 x 780 x 408 x 958 x 257 = 37139131186560

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.

474 : 1, 2, 3, 6, 79, 158, 237, 474

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

958 : 1, 2, 479, 958

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,780,408,958,257, is 1.

Now, the common factors can be found like this.

474:2x 3x 79

780:2x 2x 3x 5x 13

408:2x 2x 2x 3x 17

958:2x 479

257:257

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 37139131186560/(1x144)

LCM = 37139131186560/144

LCM = 257910633240

Thus, we can understand that the LCM of 474,780,408,958,257 is 257910633240.

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

• LCM of 508, 291, 153, 528, 598
• LCM of 561, 920, 692, 168, 207
• LCM of 931, 176, 575, 567, 508
• LCM of 250, 720, 251, 671, 594
• LCM of 834, 782, 471, 971, 151

1. What is the LCM of 474, 780, 408, 958, 257?

Answer: LCM of 474, 780, 408, 958, 257 is 257910633240.

2. How to calculate the LCM of 474, 780, 408, 958, 257?

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 474, 780, 408, 958, 257.

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}.