Given numbers are 280,465,388,145,434

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

The LCM of 280,465,388,145,434 is 73250520.

Find LCM of 280,465,388,145,434 with Prime Factorization

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

2 x 2 x 5 x 7 x 31 x 2 x 3 x 97 x 29 x 1 = 73250520

Therefore, the lowest common multiple of 280,465,388,145,434 is 73250520.

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.

280 x 465 x 388 x 145 x 434 = 3179072568000

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.

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

465 : 1, 3, 5, 15, 31, 93, 155, 465

388 : 1, 2, 4, 97, 194, 388

145 : 1, 5, 29, 145

434 : 1, 2, 7, 14, 31, 62, 217, 434

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,465,388,145,434, is 1.

Now, the common factors can be found like this.

280:2x 2x 2x 5x 7

465:3x 5x 31

388:2x 2x 97

145:5x 29

434:2x 7x 31

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 5x 5x 7x 31 = 43400

Therefore, the value for common factors is 43400.

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 = 3179072568000/(1x43400)

LCM = 3179072568000/43400

LCM = 73250520

Thus, we can understand that the LCM of 280,465,388,145,434 is 73250520.

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

• LCM of 302, 396, 533, 134, 519
• LCM of 383, 754, 435, 937, 786
• LCM of 538, 628, 315, 815, 866
• LCM of 661, 124, 359, 680, 927
• LCM of 917, 526, 801, 200, 348

1. What is the LCM of 280, 465, 388, 145, 434?

Answer: LCM of 280, 465, 388, 145, 434 is 73250520.

2. How to calculate the LCM of 280, 465, 388, 145, 434?

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 280, 465, 388, 145, 434.

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}.