Given numbers are 488,358,462,564,783

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

The LCM of 488,358,462,564,783 is 247527353304.

Find LCM of 488,358,462,564,783 with Prime Factorization

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

2 x 2 x 3 x 122 x 179 x 77 x 47 x 261 = 247527353304

Therefore, the lowest common multiple of 488,358,462,564,783 is 247527353304.

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.

488 x 358 x 462 x 564 x 783 = 35643938875776

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

358 : 1, 2, 179, 358

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

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

783 : 1, 3, 9, 27, 29, 87, 261, 783

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,358,462,564,783, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

358:2x 179

462:2x 3x 7x 11

564:2x 2x 3x 47

783:3x 3x 3x 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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 35643938875776/(1x144)

LCM = 35643938875776/144

LCM = 247527353304

Thus, we can understand that the LCM of 488,358,462,564,783 is 247527353304.

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

• LCM of 850, 857, 307, 102, 974
• LCM of 711, 400, 200, 513, 585
• LCM of 289, 639, 240, 644, 789
• LCM of 418, 909, 579, 864, 824
• LCM of 595, 334, 486, 573, 507

1. What is the LCM of 488, 358, 462, 564, 783?

Answer: LCM of 488, 358, 462, 564, 783 is 247527353304.

2. How to calculate the LCM of 488, 358, 462, 564, 783?

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 488, 358, 462, 564, 783.

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}.