Given numbers are 557,458,420,290

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

The LCM of 557,458,420,290 is 1553595540.

Find LCM of 557,458,420,290 with Prime Factorization

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

2 x 5 x 557 x 229 x 42 x 29 = 1553595540

Therefore, the lowest common multiple of 557,458,420,290 is 1553595540.

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.

557 x 458 x 420 x 290 = 31071910800

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.

557 : 1, 557

458 : 1, 2, 229, 458

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

290 : 1, 2, 5, 10, 29, 58, 145, 290

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,458,420,290, is 1.

Now, the common factors can be found like this.

557:557

458:2x 229

420:2x 2x 3x 5x 7

290:2x 5x 29

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 5 = 20

Therefore, the value for common factors is 20.

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 = 31071910800/(1x20)

LCM = 31071910800/20

LCM = 1553595540

Thus, we can understand that the LCM of 557,458,420,290 is 1553595540.

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

• LCM of 259, 426, 475, 530
• LCM of 424, 771, 621, 528
• LCM of 758, 920, 951, 712
• LCM of 791, 862, 766, 669
• LCM of 258, 787, 255, 742

1. What is the LCM of 557, 458, 420, 290?

Answer: LCM of 557, 458, 420, 290 is 1553595540.

2. How to calculate the LCM of 557, 458, 420, 290?

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 557, 458, 420, 290.

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}.