Given numbers are 397,130,824,302,270

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

The LCM of 397,130,824,302,270 is 86690555640.

Find LCM of 397,130,824,302,270 with Prime Factorization

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

2 x 5 x 397 x 13 x 412 x 151 x 27 = 86690555640

Therefore, the lowest common multiple of 397,130,824,302,270 is 86690555640.

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.

397 x 130 x 824 x 302 x 270 = 3467622225600

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.

397 : 1, 397

130 : 1, 2, 5, 10, 13, 26, 65, 130

824 : 1, 2, 4, 8, 103, 206, 412, 824

302 : 1, 2, 151, 302

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,130,824,302,270, is 1.

Now, the common factors can be found like this.

397:397

130:2x 5x 13

824:2x 2x 2x 103

302:2x 151

270:2x 3x 3x 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 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 3467622225600/(1x40)

LCM = 3467622225600/40

LCM = 86690555640

Thus, we can understand that the LCM of 397,130,824,302,270 is 86690555640.

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

• LCM of 156, 504, 250, 815, 804
• LCM of 980, 356, 499, 562, 128
• LCM of 188, 285, 817, 313, 179
• LCM of 821, 400, 865, 147, 238
• LCM of 836, 836, 616, 149, 759

1. What is the LCM of 397, 130, 824, 302, 270?

Answer: LCM of 397, 130, 824, 302, 270 is 86690555640.

2. How to calculate the LCM of 397, 130, 824, 302, 270?

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 397, 130, 824, 302, 270.

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}.