Given numbers are 464,304,354,420

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

The LCM of 464,304,354,420 is 54615120.

Find LCM of 464,304,354,420 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 29 x 19 x 59 x 35 = 54615120

Therefore, the lowest common multiple of 464,304,354,420 is 54615120.

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.

464 x 304 x 354 x 420 = 20972206080

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

354 : 1, 2, 3, 6, 59, 118, 177, 354

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,304,354,420, is 2.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

304:2x 2x 2x 2x 19

354:2x 3x 59

420:2x 2x 3x 5x 7

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 3 = 192

Therefore, the value for common factors is 192.

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 = 20972206080/(2x192)

LCM = 20972206080/384

LCM = 54615120

Thus, we can understand that the LCM of 464,304,354,420 is 54615120.

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

• LCM of 945, 823, 913, 834
• LCM of 529, 992, 807, 905
• LCM of 447, 987, 359, 231
• LCM of 552, 895, 704, 587
• LCM of 547, 459, 277, 669

1. What is the LCM of 464, 304, 354, 420?

Answer: LCM of 464, 304, 354, 420 is 54615120.

2. How to calculate the LCM of 464, 304, 354, 420?

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 464, 304, 354, 420.

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}.