Given numbers are 318,492,461,610

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

The LCM of 318,492,461,610 is 3666415980.

Find LCM of 318,492,461,610 with Prime Factorization

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

2 x 3 x 53 x 82 x 461 x 305 = 3666415980

Therefore, the lowest common multiple of 318,492,461,610 is 3666415980.

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.

318 x 492 x 461 x 610 = 43996991760

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

461 : 1, 461

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,492,461,610, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

492:2x 2x 3x 41

461:461

610:2x 5x 61

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 3 = 12

Therefore, the value for common factors is 12.

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 = 43996991760/(1x12)

LCM = 43996991760/12

LCM = 3666415980

Thus, we can understand that the LCM of 318,492,461,610 is 3666415980.

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

• LCM of 285, 946, 590, 534
• LCM of 339, 361, 331, 307
• LCM of 248, 444, 499, 545
• LCM of 140, 412, 271, 225
• LCM of 318, 627, 830, 616

1. What is the LCM of 318, 492, 461, 610?

Answer: LCM of 318, 492, 461, 610 is 3666415980.

2. How to calculate the LCM of 318, 492, 461, 610?

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 318, 492, 461, 610.

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}.