Given numbers are 252,678,257,897,570

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

The LCM of 252,678,257,897,570 is 207877220460.

Find LCM of 252,678,257,897,570 with Prime Factorization

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

2 x 3 x 42 x 113 x 257 x 299 x 95 = 207877220460

Therefore, the lowest common multiple of 252,678,257,897,570 is 207877220460.

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.

252 x 678 x 257 x 897 x 570 = 22450739809680

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.

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

678 : 1, 2, 3, 6, 113, 226, 339, 678

257 : 1, 257

897 : 1, 3, 13, 23, 39, 69, 299, 897

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,678,257,897,570, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

678:2x 3x 113

257:257

897:3x 13x 23

570:2x 3x 5x 19

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 22450739809680/(1x108)

LCM = 22450739809680/108

LCM = 207877220460

Thus, we can understand that the LCM of 252,678,257,897,570 is 207877220460.

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

• LCM of 705, 540, 905, 842, 584
• LCM of 508, 568, 743, 780, 581
• LCM of 221, 633, 211, 849, 282
• LCM of 312, 674, 354, 858, 220
• LCM of 927, 190, 112, 390, 836

1. What is the LCM of 252, 678, 257, 897, 570?

Answer: LCM of 252, 678, 257, 897, 570 is 207877220460.

2. How to calculate the LCM of 252, 678, 257, 897, 570?

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 252, 678, 257, 897, 570.

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}.