Given numbers are 251,281,396,136,924

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

The LCM of 251,281,396,136,924 is 6647405688.

Find LCM of 251,281,396,136,924 with Prime Factorization

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

2 x 2 x 3 x 11 x 251 x 281 x 3 x 34 x 7 = 6647405688

Therefore, the lowest common multiple of 251,281,396,136,924 is 6647405688.

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 281 x 396 x 136 x 924 = 3509830203264

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

281 : 1, 281

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

136 : 1, 2, 4, 8, 17, 34, 68, 136

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,281,396,136,924, is 1.

Now, the common factors can be found like this.

251:251

281:281

396:2x 2x 3x 3x 11

136:2x 2x 2x 17

924:2x 2x 3x 7x 11

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 11 = 528

Therefore, the value for common factors is 528.

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 = 3509830203264/(1x528)

LCM = 3509830203264/528

LCM = 6647405688

Thus, we can understand that the LCM of 251,281,396,136,924 is 6647405688.

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

• LCM of 817, 882, 716, 793, 468
• LCM of 294, 869, 105, 754, 414
• LCM of 503, 956, 488, 582, 852
• LCM of 823, 507, 809, 172, 766
• LCM of 671, 236, 557, 605, 901

1. What is the LCM of 251, 281, 396, 136, 924?

Answer: LCM of 251, 281, 396, 136, 924 is 6647405688.

2. How to calculate the LCM of 251, 281, 396, 136, 924?

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, 281, 396, 136, 924.

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}.