Given numbers are 452,478,350,204,612

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

The LCM of 452,478,350,204,612 is 2892449700.

Find LCM of 452,478,350,204,612 with Prime Factorization

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

2 x 2 x 3 x 17 x 113 x 239 x 175 x 1 x 3 = 2892449700

Therefore, the lowest common multiple of 452,478,350,204,612 is 2892449700.

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.

452 x 478 x 350 x 204 x 612 = 9440955820800

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.

452 : 1, 2, 4, 113, 226, 452

478 : 1, 2, 239, 478

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,478,350,204,612, is 2.

Now, the common factors can be found like this.

452:2x 2x 113

478:2x 239

350:2x 5x 5x 7

204:2x 2x 3x 17

612:2x 2x 3x 3x 17

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 3x 17 = 1632

Therefore, the value for common factors is 1632.

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 = 9440955820800/(2x1632)

LCM = 9440955820800/3264

LCM = 2892449700

Thus, we can understand that the LCM of 452,478,350,204,612 is 2892449700.

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

• LCM of 987, 363, 886, 757, 155
• LCM of 535, 453, 922, 700, 562
• LCM of 358, 791, 298, 710, 978
• LCM of 938, 433, 964, 138, 354
• LCM of 528, 478, 394, 874, 789

1. What is the LCM of 452, 478, 350, 204, 612?

Answer: LCM of 452, 478, 350, 204, 612 is 2892449700.

2. How to calculate the LCM of 452, 478, 350, 204, 612?

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 452, 478, 350, 204, 612.

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}.