Given numbers are 403,52,514

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

The LCM of 403,52,514 is 414284.

Find LCM of 403,52,514 with Prime Factorization

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

2 x 13 x 31 x 2 x 257 = 414284

Therefore, the lowest common multiple of 403,52,514 is 414284.

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.

403 x 52 x 514 = 10771384

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.

403 : 1, 13, 31, 403

52 : 1, 2, 4, 13, 26, 52

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,52,514, is 1.

Now, the common factors can be found like this.

403:13x 31

52:2x 2x 13

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 13 = 26

Therefore, the value for common factors is 26.

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 = 10771384/(1x26)

LCM = 10771384/26

LCM = 414284

Thus, we can understand that the LCM of 403,52,514 is 414284.

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

• LCM of 883, 85, 292
• LCM of 591, 93, 825
• LCM of 835, 57, 278
• LCM of 976, 96, 636
• LCM of 475, 88, 916

1. What is the LCM of 403, 52, 514?

Answer: LCM of 403, 52, 514 is 414284.

2. How to calculate the LCM of 403, 52, 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 403, 52, 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}.