Given numbers are 385,129,458,282,480

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

The LCM of 385,129,458,282,480 is 17105420640.

Find LCM of 385,129,458,282,480 with Prime Factorization

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

2 x 3 x 5 x 77 x 43 x 229 x 47 x 16 = 17105420640

Therefore, the lowest common multiple of 385,129,458,282,480 is 17105420640.

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.

385 x 129 x 458 x 282 x 480 = 3078975715200

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.

385 : 1, 5, 7, 11, 35, 55, 77, 385

129 : 1, 3, 43, 129

458 : 1, 2, 229, 458

282 : 1, 2, 3, 6, 47, 94, 141, 282

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,129,458,282,480, is 1.

Now, the common factors can be found like this.

385:5x 7x 11

129:3x 43

458:2x 229

282:2x 3x 47

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

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 3078975715200/(1x180)

LCM = 3078975715200/180

LCM = 17105420640

Thus, we can understand that the LCM of 385,129,458,282,480 is 17105420640.

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

• LCM of 131, 756, 368, 234, 484
• LCM of 251, 850, 897, 914, 849
• LCM of 846, 178, 215, 483, 196
• LCM of 401, 733, 277, 623, 797
• LCM of 600, 484, 735, 111, 763

1. What is the LCM of 385, 129, 458, 282, 480?

Answer: LCM of 385, 129, 458, 282, 480 is 17105420640.

2. How to calculate the LCM of 385, 129, 458, 282, 480?

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 385, 129, 458, 282, 480.

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}.