Given numbers are 523,414,370,582,136

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

The LCM of 523,414,370,582,136 is 264213135720.

Find LCM of 523,414,370,582,136 with Prime Factorization

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

2 x 3 x 523 x 69 x 185 x 97 x 68 = 264213135720

Therefore, the lowest common multiple of 523,414,370,582,136 is 264213135720.

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.

523 x 414 x 370 x 582 x 136 = 6341115257280

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.

523 : 1, 523

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

370 : 1, 2, 5, 10, 37, 74, 185, 370

582 : 1, 2, 3, 6, 97, 194, 291, 582

136 : 1, 2, 4, 8, 17, 34, 68, 136

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,414,370,582,136, is 1.

Now, the common factors can be found like this.

523:523

414:2x 3x 3x 23

370:2x 5x 37

582:2x 3x 97

136:2x 2x 2x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 6341115257280/(1x24)

LCM = 6341115257280/24

LCM = 264213135720

Thus, we can understand that the LCM of 523,414,370,582,136 is 264213135720.

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

• LCM of 918, 508, 857, 967, 210
• LCM of 498, 479, 962, 934, 174
• LCM of 308, 866, 908, 975, 656
• LCM of 305, 392, 401, 953, 318
• LCM of 499, 395, 270, 131, 310

1. What is the LCM of 523, 414, 370, 582, 136?

Answer: LCM of 523, 414, 370, 582, 136 is 264213135720.

2. How to calculate the LCM of 523, 414, 370, 582, 136?

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 523, 414, 370, 582, 136.

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}.