Given numbers are 468,671,269,252,792

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

The LCM of 468,671,269,252,792 is 1182629448.

Find LCM of 468,671,269,252,792 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 13 x 61 x 269 x 7 x 2 = 1182629448

Therefore, the lowest common multiple of 468,671,269,252,792 is 1182629448.

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.

468 x 671 x 269 x 252 x 792 = 16859565410688

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

671 : 1, 11, 61, 671

269 : 1, 269

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

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,671,269,252,792, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

671:11x 61

269:269

252:2x 2x 3x 3x 7

792:2x 2x 2x 3x 3x 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 3x 3x 3x 11 = 14256

Therefore, the value for common factors is 14256.

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 = 16859565410688/(1x14256)

LCM = 16859565410688/14256

LCM = 1182629448

Thus, we can understand that the LCM of 468,671,269,252,792 is 1182629448.

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

• LCM of 546, 432, 917, 841, 136
• LCM of 153, 467, 772, 364, 164
• LCM of 889, 971, 641, 515, 199
• LCM of 139, 992, 633, 161, 126
• LCM of 983, 717, 558, 703, 540

1. What is the LCM of 468, 671, 269, 252, 792?

Answer: LCM of 468, 671, 269, 252, 792 is 1182629448.

2. How to calculate the LCM of 468, 671, 269, 252, 792?

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 468, 671, 269, 252, 792.

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}.