Given numbers are 318,53,514

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

The LCM of 318,53,514 is 81726.

Find LCM of 318,53,514 with Prime Factorization

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

2 x 53 x 3 x 1 x 257 = 81726

Therefore, the lowest common multiple of 318,53,514 is 81726.

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 53 x 514 = 8662956

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

53 : 1, 53

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,53,514, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

53:53

514:2x 257

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

2x 53 = 106

Therefore, the value for common factors is 106.

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 = 8662956/(1x106)

LCM = 8662956/106

LCM = 81726

Thus, we can understand that the LCM of 318,53,514 is 81726.

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

• LCM of 955, 51, 557
• LCM of 992, 72, 735
• LCM of 799, 78, 500
• LCM of 934, 87, 625
• LCM of 920, 85, 740

1. What is the LCM of 318, 53, 514?

Answer: LCM of 318, 53, 514 is 81726.

2. How to calculate the LCM of 318, 53, 514?

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, 53, 514.

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}.