Given numbers are 490,587,352,748,682

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

The LCM of 490,587,352,748,682 is 26678257760.

Find LCM of 490,587,352,748,682 with Prime Factorization

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

2 x 2 x 11 x 245 x 587 x 8 x 17 x 31 = 26678257760

Therefore, the lowest common multiple of 490,587,352,748,682 is 26678257760.

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.

490 x 587 x 352 x 748 x 682 = 51649107023360

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.

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

587 : 1, 587

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,587,352,748,682, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

587:587

352:2x 2x 2x 2x 2x 11

748:2x 2x 11x 17

682:2x 11x 31

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 11x 11 = 1936

Therefore, the value for common factors is 1936.

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 = 51649107023360/(1x1936)

LCM = 51649107023360/1936

LCM = 26678257760

Thus, we can understand that the LCM of 490,587,352,748,682 is 26678257760.

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

• LCM of 928, 423, 294, 414, 525
• LCM of 872, 435, 920, 425, 877
• LCM of 472, 454, 493, 716, 375
• LCM of 620, 777, 199, 434, 612
• LCM of 566, 155, 600, 110, 884

1. What is the LCM of 490, 587, 352, 748, 682?

Answer: LCM of 490, 587, 352, 748, 682 is 26678257760.

2. How to calculate the LCM of 490, 587, 352, 748, 682?

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 490, 587, 352, 748, 682.

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}.