Given numbers are 419,279,476,484,468

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

The LCM of 419,279,476,484,468 is 87529389948.

Find LCM of 419,279,476,484,468 with Prime Factorization

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

2 x 2 x 3 x 3 x 419 x 31 x 119 x 121 x 13 = 87529389948

Therefore, the lowest common multiple of 419,279,476,484,468 is 87529389948.

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.

419 x 279 x 476 x 484 x 468 = 12604232152512

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.

419 : 1, 419

279 : 1, 3, 9, 31, 93, 279

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

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 419,279,476,484,468, is 1.

Now, the common factors can be found like this.

419:419

279:3x 3x 31

476:2x 2x 7x 17

484:2x 2x 11x 11

468:2x 2x 3x 3x 13

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 3 = 144

Therefore, the value for common factors is 144.

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 = 12604232152512/(1x144)

LCM = 12604232152512/144

LCM = 87529389948

Thus, we can understand that the LCM of 419,279,476,484,468 is 87529389948.

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

• LCM of 753, 681, 991, 859, 964
• LCM of 542, 623, 101, 436, 792
• LCM of 940, 429, 224, 436, 764
• LCM of 306, 267, 239, 281, 872
• LCM of 234, 298, 728, 633, 594

1. What is the LCM of 419, 279, 476, 484, 468?

Answer: LCM of 419, 279, 476, 484, 468 is 87529389948.

2. How to calculate the LCM of 419, 279, 476, 484, 468?

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 419, 279, 476, 484, 468.

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}.