Given numbers are 505,409,221,91

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

The LCM of 505,409,221,91 is 319525115.

Find LCM of 505,409,221,91 with Prime Factorization

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

13 x 505 x 409 x 17 x 7 = 319525115

Therefore, the lowest common multiple of 505,409,221,91 is 319525115.

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.

505 x 409 x 221 x 91 = 4153826495

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.

505 : 1, 5, 101, 505

409 : 1, 409

221 : 1, 13, 17, 221

91 : 1, 7, 13, 91

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,409,221,91, is 1.

Now, the common factors can be found like this.

505:5x 101

409:409

221:13x 17

91:7x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 4153826495/(1x13)

LCM = 4153826495/13

LCM = 319525115

Thus, we can understand that the LCM of 505,409,221,91 is 319525115.

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

• LCM of 655, 552, 616, 10
• LCM of 158, 691, 913, 82
• LCM of 905, 780, 883, 51
• LCM of 399, 635, 288, 22
• LCM of 521, 132, 541, 31

1. What is the LCM of 505, 409, 221, 91?

Answer: LCM of 505, 409, 221, 91 is 319525115.

2. How to calculate the LCM of 505, 409, 221, 91?

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 505, 409, 221, 91.

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}.