Given numbers are 534,420,252,264,257

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

The LCM of 534,420,252,264,257 is 634039560.

Find LCM of 534,420,252,264,257 with Prime Factorization

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

2 x 2 x 3 x 7 x 89 x 5 x 3 x 22 x 257 = 634039560

Therefore, the lowest common multiple of 534,420,252,264,257 is 634039560.

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.

534 x 420 x 252 x 264 x 257 = 3834671258880

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.

534 : 1, 2, 3, 6, 89, 178, 267, 534

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

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,420,252,264,257, is 1.

Now, the common factors can be found like this.

534:2x 3x 89

420:2x 2x 3x 5x 7

252:2x 2x 3x 3x 7

264:2x 2x 2x 3x 11

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 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 = 3834671258880/(1x6048)

LCM = 3834671258880/6048

LCM = 634039560

Thus, we can understand that the LCM of 534,420,252,264,257 is 634039560.

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

• LCM of 402, 682, 105, 450, 103
• LCM of 337, 616, 424, 169, 310
• LCM of 243, 452, 184, 599, 566
• LCM of 679, 553, 951, 991, 758
• LCM of 874, 216, 231, 178, 705

1. What is the LCM of 534, 420, 252, 264, 257?

Answer: LCM of 534, 420, 252, 264, 257 is 634039560.

2. How to calculate the LCM of 534, 420, 252, 264, 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 534, 420, 252, 264, 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}.