Given numbers are 480,203,216,354

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

The LCM of 480,203,216,354 is 51740640.

Find LCM of 480,203,216,354 with Prime Factorization

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

2 x 2 x 2 x 3 x 20 x 203 x 9 x 59 = 51740640

Therefore, the lowest common multiple of 480,203,216,354 is 51740640.

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.

480 x 203 x 216 x 354 = 7450652160

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

203 : 1, 7, 29, 203

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,203,216,354, is 1.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

203:7x 29

216:2x 2x 2x 3x 3x 3

354:2x 3x 59

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 = 7450652160/(1x144)

LCM = 7450652160/144

LCM = 51740640

Thus, we can understand that the LCM of 480,203,216,354 is 51740640.

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

• LCM of 690, 674, 901, 592
• LCM of 681, 361, 357, 283
• LCM of 118, 910, 885, 868
• LCM of 827, 228, 963, 510
• LCM of 858, 217, 943, 482

1. What is the LCM of 480, 203, 216, 354?

Answer: LCM of 480, 203, 216, 354 is 51740640.

2. How to calculate the LCM of 480, 203, 216, 354?

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 480, 203, 216, 354.

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}.