Given numbers are 477,578,590,973,458

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

The LCM of 477,578,590,973,458 is 18122435221590.

Find LCM of 477,578,590,973,458 with Prime Factorization

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

2 x 477 x 289 x 295 x 973 x 229 = 18122435221590

Therefore, the lowest common multiple of 477,578,590,973,458 is 18122435221590.

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.

477 x 578 x 590 x 973 x 458 = 72489740886360

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.

477 : 1, 3, 9, 53, 159, 477

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

590 : 1, 2, 5, 10, 59, 118, 295, 590

973 : 1, 7, 139, 973

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,578,590,973,458, is 1.

Now, the common factors can be found like this.

477:3x 3x 53

578:2x 17x 17

590:2x 5x 59

973:7x 139

458:2x 229

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 72489740886360/(1x4)

LCM = 72489740886360/4

LCM = 18122435221590

Thus, we can understand that the LCM of 477,578,590,973,458 is 18122435221590.

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

• LCM of 210, 589, 130, 725, 632
• LCM of 601, 992, 925, 231, 527
• LCM of 565, 698, 599, 717, 434
• LCM of 106, 255, 904, 181, 182
• LCM of 583, 607, 145, 741, 336

1. What is the LCM of 477, 578, 590, 973, 458?

Answer: LCM of 477, 578, 590, 973, 458 is 18122435221590.

2. How to calculate the LCM of 477, 578, 590, 973, 458?

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 477, 578, 590, 973, 458.

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}.