Given numbers are 257,421,217,771,790

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

The LCM of 257,421,217,771,790 is 55644635130.

Find LCM of 257,421,217,771,790 with Prime Factorization

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

257 x 1 x 421 x 217 x 3 x 790 = 55644635130

Therefore, the lowest common multiple of 257,421,217,771,790 is 55644635130.

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.

257 x 421 x 217 x 771 x 790 = 14300671228410

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.

257 : 1, 257

421 : 1, 421

217 : 1, 7, 31, 217

771 : 1, 3, 257, 771

790 : 1, 2, 5, 10, 79, 158, 395, 790

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,421,217,771,790, is 1.

Now, the common factors can be found like this.

257:257

421:421

217:7x 31

771:3x 257

790:2x 5x 79

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

257 = 257

Therefore, the value for common factors is 257.

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 = 14300671228410/(1x257)

LCM = 14300671228410/257

LCM = 55644635130

Thus, we can understand that the LCM of 257,421,217,771,790 is 55644635130.

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

• LCM of 666, 935, 107, 365, 549
• LCM of 220, 836, 647, 562, 901
• LCM of 289, 352, 490, 381, 758
• LCM of 162, 328, 682, 265, 843
• LCM of 692, 421, 110, 402, 921

1. What is the LCM of 257, 421, 217, 771, 790?

Answer: LCM of 257, 421, 217, 771, 790 is 55644635130.

2. How to calculate the LCM of 257, 421, 217, 771, 790?

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 257, 421, 217, 771, 790.

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}.