Given numbers are 428,124,751,488,588

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

The LCM of 428,124,751,488,588 is 178699182312.

Find LCM of 428,124,751,488,588 with Prime Factorization

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

2 x 2 x 107 x 31 x 751 x 122 x 147 = 178699182312

Therefore, the lowest common multiple of 428,124,751,488,588 is 178699182312.

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.

428 x 124 x 751 x 488 x 588 = 11436747667968

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.

428 : 1, 2, 4, 107, 214, 428

124 : 1, 2, 4, 31, 62, 124

751 : 1, 751

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

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,124,751,488,588, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

124:2x 2x 31

751:751

488:2x 2x 2x 61

588:2x 2x 3x 7x 7

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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 11436747667968/(1x64)

LCM = 11436747667968/64

LCM = 178699182312

Thus, we can understand that the LCM of 428,124,751,488,588 is 178699182312.

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

• LCM of 684, 634, 414, 178, 410
• LCM of 559, 299, 324, 732, 675
• LCM of 574, 606, 378, 870, 964
• LCM of 572, 969, 386, 445, 768
• LCM of 700, 855, 483, 116, 221

1. What is the LCM of 428, 124, 751, 488, 588?

Answer: LCM of 428, 124, 751, 488, 588 is 178699182312.

2. How to calculate the LCM of 428, 124, 751, 488, 588?

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 428, 124, 751, 488, 588.

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}.