Given numbers are 390,117,523,147

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

The LCM of 390,117,523,147 is 29983590.

Find LCM of 390,117,523,147 with Prime Factorization

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

3 x 13 x 10 x 3 x 523 x 49 = 29983590

Therefore, the lowest common multiple of 390,117,523,147 is 29983590.

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.

390 x 117 x 523 x 147 = 3508080030

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

117 : 1, 3, 9, 13, 39, 117

523 : 1, 523

147 : 1, 3, 7, 21, 49, 147

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,117,523,147, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

117:3x 3x 13

523:523

147:3x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 13 = 117

Therefore, the value for common factors is 117.

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 = 3508080030/(1x117)

LCM = 3508080030/117

LCM = 29983590

Thus, we can understand that the LCM of 390,117,523,147 is 29983590.

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

• LCM of 603, 578, 225, 145
• LCM of 290, 184, 533, 303
• LCM of 897, 937, 455, 146
• LCM of 136, 517, 419, 993
• LCM of 181, 764, 762, 179

1. What is the LCM of 390, 117, 523, 147?

Answer: LCM of 390, 117, 523, 147 is 29983590.

2. How to calculate the LCM of 390, 117, 523, 147?

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 390, 117, 523, 147.

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}.