Given numbers are 521,406,514,252

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

The LCM of 521,406,514,252 is 978519276.

Find LCM of 521,406,514,252 with Prime Factorization

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

2 x 7 x 521 x 29 x 257 x 18 = 978519276

Therefore, the lowest common multiple of 521,406,514,252 is 978519276.

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 406 x 514 x 252 = 27398539728

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

514 : 1, 2, 257, 514

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,406,514,252, is 1.

Now, the common factors can be found like this.

521:521

406:2x 7x 29

514:2x 257

252:2x 2x 3x 3x 7

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 7 = 28

Therefore, the value for common factors is 28.

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 = 27398539728/(1x28)

LCM = 27398539728/28

LCM = 978519276

Thus, we can understand that the LCM of 521,406,514,252 is 978519276.

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

• LCM of 832, 935, 409, 992
• LCM of 776, 723, 197, 340
• LCM of 911, 166, 501, 150
• LCM of 317, 120, 538, 724
• LCM of 967, 616, 273, 113

1. What is the LCM of 521, 406, 514, 252?

Answer: LCM of 521, 406, 514, 252 is 978519276.

2. How to calculate the LCM of 521, 406, 514, 252?

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, 406, 514, 252.

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}.