Given numbers are 521,546,514

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

The LCM of 521,546,514 is 73107762.

Find LCM of 521,546,514 with Prime Factorization

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

2 x 521 x 273 x 257 = 73107762

Therefore, the lowest common multiple of 521,546,514 is 73107762.

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.

521 x 546 x 514 = 146215524

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.

521 : 1, 521

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,546,514, is 1.

Now, the common factors can be found like this.

521:521

546:2x 3x 7x 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.

2 = 2

Therefore, the value for common factors is 2.

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 = 146215524/(1x2)

LCM = 146215524/2

LCM = 73107762

Thus, we can understand that the LCM of 521,546,514 is 73107762.

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

• LCM of 700, 469, 736
• LCM of 801, 177, 896
• LCM of 780, 664, 151
• LCM of 667, 549, 355
• LCM of 504, 103, 192

1. What is the LCM of 521, 546, 514?

Answer: LCM of 521, 546, 514 is 73107762.

2. How to calculate the LCM of 521, 546, 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 521, 546, 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}.