Given numbers are 428,501,582,641,540

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

The LCM of 428,501,582,641,540 is 599962039020.

Find LCM of 428,501,582,641,540 with Prime Factorization

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

2 x 2 x 3 x 107 x 167 x 97 x 641 x 45 = 599962039020

Therefore, the lowest common multiple of 428,501,582,641,540 is 599962039020.

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 501 x 582 x 641 x 540 = 43197266809440

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

501 : 1, 3, 167, 501

582 : 1, 2, 3, 6, 97, 194, 291, 582

641 : 1, 641

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,501,582,641,540, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

501:3x 167

582:2x 3x 97

641:641

540:2x 2x 3x 3x 3x 5

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 43197266809440/(1x72)

LCM = 43197266809440/72

LCM = 599962039020

Thus, we can understand that the LCM of 428,501,582,641,540 is 599962039020.

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

• LCM of 773, 870, 854, 664, 111
• LCM of 604, 754, 927, 296, 972
• LCM of 174, 733, 710, 276, 688
• LCM of 342, 709, 578, 968, 143
• LCM of 917, 334, 511, 233, 614

1. What is the LCM of 428, 501, 582, 641, 540?

Answer: LCM of 428, 501, 582, 641, 540 is 599962039020.

2. How to calculate the LCM of 428, 501, 582, 641, 540?

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, 501, 582, 641, 540.

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}.