Given numbers are 390,171,185,577

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

The LCM of 390,171,185,577 is 474588270.

Find LCM of 390,171,185,577 with Prime Factorization

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

3 x 5 x 26 x 57 x 37 x 577 = 474588270

Therefore, the lowest common multiple of 390,171,185,577 is 474588270.

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 171 x 185 x 577 = 7118824050

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

171 : 1, 3, 9, 19, 57, 171

185 : 1, 5, 37, 185

577 : 1, 577

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,171,185,577, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

171:3x 3x 19

185:5x 37

577:577

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 7118824050/(1x15)

LCM = 7118824050/15

LCM = 474588270

Thus, we can understand that the LCM of 390,171,185,577 is 474588270.

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

• LCM of 942, 227, 277, 188
• LCM of 318, 826, 873, 201
• LCM of 626, 179, 385, 978
• LCM of 716, 645, 978, 644
• LCM of 380, 605, 144, 862

1. What is the LCM of 390, 171, 185, 577?

Answer: LCM of 390, 171, 185, 577 is 474588270.

2. How to calculate the LCM of 390, 171, 185, 577?

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, 171, 185, 577.

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}.