Given numbers are 523,131,246,610,190

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

The LCM of 523,131,246,610,190 is 97670077410.

Find LCM of 523,131,246,610,190 with Prime Factorization

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

2 x 5 x 523 x 131 x 123 x 61 x 19 = 97670077410

Therefore, the lowest common multiple of 523,131,246,610,190 is 97670077410.

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 131 x 246 x 610 x 190 = 1953401548200

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

131 : 1, 131

246 : 1, 2, 3, 6, 41, 82, 123, 246

610 : 1, 2, 5, 10, 61, 122, 305, 610

190 : 1, 2, 5, 10, 19, 38, 95, 190

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,131,246,610,190, is 1.

Now, the common factors can be found like this.

523:523

131:131

246:2x 3x 41

610:2x 5x 61

190:2x 5x 19

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 5 = 20

Therefore, the value for common factors is 20.

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 = 1953401548200/(1x20)

LCM = 1953401548200/20

LCM = 97670077410

Thus, we can understand that the LCM of 523,131,246,610,190 is 97670077410.

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

• LCM of 182, 156, 614, 492, 682
• LCM of 989, 459, 830, 282, 459
• LCM of 743, 650, 718, 207, 788
• LCM of 227, 626, 830, 892, 347
• LCM of 969, 837, 544, 416, 966

1. What is the LCM of 523, 131, 246, 610, 190?

Answer: LCM of 523, 131, 246, 610, 190 is 97670077410.

2. How to calculate the LCM of 523, 131, 246, 610, 190?

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, 131, 246, 610, 190.

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}.