Given numbers are 251,410,420,696,986

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

The LCM of 251,410,420,696,986 is 4261708920.

Find LCM of 251,410,420,696,986 with Prime Factorization

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

2 x 2 x 3 x 5 x 29 x 251 x 41 x 7 x 2 x 17 = 4261708920

Therefore, the lowest common multiple of 251,410,420,696,986 is 4261708920.

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.

251 x 410 x 420 x 696 x 986 = 29661494083200

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.

251 : 1, 251

410 : 1, 2, 5, 10, 41, 82, 205, 410

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

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,410,420,696,986, is 1.

Now, the common factors can be found like this.

251:251

410:2x 5x 41

420:2x 2x 3x 5x 7

696:2x 2x 2x 3x 29

986:2x 17x 29

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 5x 29 = 6960

Therefore, the value for common factors is 6960.

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 = 29661494083200/(1x6960)

LCM = 29661494083200/6960

LCM = 4261708920

Thus, we can understand that the LCM of 251,410,420,696,986 is 4261708920.

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

• LCM of 349, 796, 788, 535, 265
• LCM of 828, 681, 704, 629, 339
• LCM of 869, 479, 738, 627, 530
• LCM of 345, 919, 710, 101, 530
• LCM of 496, 435, 173, 297, 263

1. What is the LCM of 251, 410, 420, 696, 986?

Answer: LCM of 251, 410, 420, 696, 986 is 4261708920.

2. How to calculate the LCM of 251, 410, 420, 696, 986?

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 251, 410, 420, 696, 986.

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}.