Given numbers are 480,485,490,865,541

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

The LCM of 480,485,490,865,541 is 213526813920.

Find LCM of 480,485,490,865,541 with Prime Factorization

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

2 x 5 x 48 x 97 x 49 x 173 x 541 = 213526813920

Therefore, the lowest common multiple of 480,485,490,865,541 is 213526813920.

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.

480 x 485 x 490 x 865 x 541 = 53381703480000

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

485 : 1, 5, 97, 485

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

865 : 1, 5, 173, 865

541 : 1, 541

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,485,490,865,541, is 1.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

485:5x 97

490:2x 5x 7x 7

865:5x 173

541:541

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

2x 5x 5x 5 = 250

Therefore, the value for common factors is 250.

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 = 53381703480000/(1x250)

LCM = 53381703480000/250

LCM = 213526813920

Thus, we can understand that the LCM of 480,485,490,865,541 is 213526813920.

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

• LCM of 340, 605, 292, 510, 514
• LCM of 682, 309, 621, 310, 684
• LCM of 780, 862, 798, 157, 280
• LCM of 241, 119, 366, 153, 396
• LCM of 856, 956, 707, 301, 676

1. What is the LCM of 480, 485, 490, 865, 541?

Answer: LCM of 480, 485, 490, 865, 541 is 213526813920.

2. How to calculate the LCM of 480, 485, 490, 865, 541?

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 480, 485, 490, 865, 541.

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}.