Given numbers are 476,272,544,454,214

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

The LCM of 476,272,544,454,214 is 92492512.

Find LCM of 476,272,544,454,214 with Prime Factorization

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

2 x 2 x 2 x 2 x 17 x 7 x 1 x 2 x 227 x 107 = 92492512

Therefore, the lowest common multiple of 476,272,544,454,214 is 92492512.

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.

476 x 272 x 544 x 454 x 214 = 6842966007808

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.

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

454 : 1, 2, 227, 454

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,272,544,454,214, is 2.

Now, the common factors can be found like this.

476:2x 2x 7x 17

272:2x 2x 2x 2x 17

544:2x 2x 2x 2x 2x 17

454:2x 227

214:2x 107

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 2x 2x 17x 17 = 36992

Therefore, the value for common factors is 36992.

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 = 6842966007808/(2x36992)

LCM = 6842966007808/73984

LCM = 92492512

Thus, we can understand that the LCM of 476,272,544,454,214 is 92492512.

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

• LCM of 489, 615, 289, 220, 946
• LCM of 295, 303, 417, 101, 648
• LCM of 608, 521, 777, 921, 433
• LCM of 496, 512, 371, 132, 662
• LCM of 692, 923, 201, 866, 262

1. What is the LCM of 476, 272, 544, 454, 214?

Answer: LCM of 476, 272, 544, 454, 214 is 92492512.

2. How to calculate the LCM of 476, 272, 544, 454, 214?

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 476, 272, 544, 454, 214.

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}.