Given numbers are 553,217,229,462

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

The LCM of 553,217,229,462 is 259099302.

Find LCM of 553,217,229,462 with Prime Factorization

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

7 x 79 x 31 x 229 x 66 = 259099302

Therefore, the lowest common multiple of 553,217,229,462 is 259099302.

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.

553 x 217 x 229 x 462 = 12695865798

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.

553 : 1, 7, 79, 553

217 : 1, 7, 31, 217

229 : 1, 229

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,217,229,462, is 1.

Now, the common factors can be found like this.

553:7x 79

217:7x 31

229:229

462:2x 3x 7x 11

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

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 12695865798/(1x49)

LCM = 12695865798/49

LCM = 259099302

Thus, we can understand that the LCM of 553,217,229,462 is 259099302.

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

• LCM of 575, 941, 402, 326
• LCM of 798, 304, 202, 400
• LCM of 701, 159, 210, 308
• LCM of 679, 144, 810, 660
• LCM of 140, 441, 974, 946

1. What is the LCM of 553, 217, 229, 462?

Answer: LCM of 553, 217, 229, 462 is 259099302.

2. How to calculate the LCM of 553, 217, 229, 462?

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 553, 217, 229, 462.

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}.