Given numbers are 553,507,578,213,259

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

The LCM of 553,507,578,213,259 is 425717008626.

Find LCM of 553,507,578,213,259 with Prime Factorization

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

3 x 7 x 79 x 169 x 578 x 71 x 37 = 425717008626

Therefore, the lowest common multiple of 553,507,578,213,259 is 425717008626.

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 507 x 578 x 213 x 259 = 8940057181146

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

507 : 1, 3, 13, 39, 169, 507

578 : 1, 2, 17, 34, 289, 578

213 : 1, 3, 71, 213

259 : 1, 7, 37, 259

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,507,578,213,259, is 1.

Now, the common factors can be found like this.

553:7x 79

507:3x 13x 13

578:2x 17x 17

213:3x 71

259:7x 37

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

3x 7 = 21

Therefore, the value for common factors is 21.

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 = 8940057181146/(1x21)

LCM = 8940057181146/21

LCM = 425717008626

Thus, we can understand that the LCM of 553,507,578,213,259 is 425717008626.

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

• LCM of 137, 536, 897, 768, 427
• LCM of 581, 500, 256, 734, 393
• LCM of 765, 654, 806, 197, 312
• LCM of 707, 399, 969, 578, 409
• LCM of 730, 618, 333, 931, 987

1. What is the LCM of 553, 507, 578, 213, 259?

Answer: LCM of 553, 507, 578, 213, 259 is 425717008626.

2. How to calculate the LCM of 553, 507, 578, 213, 259?

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, 507, 578, 213, 259.

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}.