Given numbers are 435,192,480,349,964

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

The LCM of 435,192,480,349,964 is 2341594560.

Find LCM of 435,192,480,349,964 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 5 x 29 x 2 x 1 x 349 x 241 = 2341594560

Therefore, the lowest common multiple of 435,192,480,349,964 is 2341594560.

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.

435 x 192 x 480 x 349 x 964 = 13487584665600

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.

435 : 1, 3, 5, 15, 29, 87, 145, 435

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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

349 : 1, 349

964 : 1, 2, 4, 241, 482, 964

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,192,480,349,964, is 1.

Now, the common factors can be found like this.

435:3x 5x 29

192:2x 2x 2x 2x 2x 2x 3

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

349:349

964:2x 2x 241

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 3x 3x 5 = 5760

Therefore, the value for common factors is 5760.

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 = 13487584665600/(1x5760)

LCM = 13487584665600/5760

LCM = 2341594560

Thus, we can understand that the LCM of 435,192,480,349,964 is 2341594560.

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

• LCM of 441, 130, 190, 224, 339
• LCM of 468, 355, 465, 377, 314
• LCM of 822, 301, 493, 678, 850
• LCM of 326, 437, 728, 545, 621
• LCM of 744, 178, 767, 397, 199

1. What is the LCM of 435, 192, 480, 349, 964?

Answer: LCM of 435, 192, 480, 349, 964 is 2341594560.

2. How to calculate the LCM of 435, 192, 480, 349, 964?

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 435, 192, 480, 349, 964.

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}.