Given numbers are 280,840,270,233,827

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

The LCM of 280,840,270,233,827 is 1456743960.

Find LCM of 280,840,270,233,827 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 7 x 1 x 1 x 9 x 233 x 827 = 1456743960

Therefore, the lowest common multiple of 280,840,270,233,827 is 1456743960.

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 840 x 270 x 233 x 827 = 12236649264000

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

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

233 : 1, 233

827 : 1, 827

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,840,270,233,827, is 1.

Now, the common factors can be found like this.

280:2x 2x 2x 5x 7

840:2x 2x 2x 3x 5x 7

270:2x 3x 3x 3x 5

233:233

827:827

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 5x 5x 7 = 8400

Therefore, the value for common factors is 8400.

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 = 12236649264000/(1x8400)

LCM = 12236649264000/8400

LCM = 1456743960

Thus, we can understand that the LCM of 280,840,270,233,827 is 1456743960.

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

• LCM of 987, 236, 844, 791, 379
• LCM of 124, 954, 995, 156, 475
• LCM of 541, 495, 250, 787, 571
• LCM of 715, 478, 533, 964, 689
• LCM of 577, 485, 246, 523, 916

1. What is the LCM of 280, 840, 270, 233, 827?

Answer: LCM of 280, 840, 270, 233, 827 is 1456743960.

2. How to calculate the LCM of 280, 840, 270, 233, 827?

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, 840, 270, 233, 827.

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}.