Given numbers are 410,350,715,724,870

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

The LCM of 410,350,715,724,870 is 64627262700.

Find LCM of 410,350,715,724,870 with Prime Factorization

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

2 x 5 x 41 x 35 x 143 x 362 x 87 = 64627262700

Therefore, the lowest common multiple of 410,350,715,724,870 is 64627262700.

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.

410 x 350 x 715 x 724 x 870 = 64627262700000

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.

410 : 1, 2, 5, 10, 41, 82, 205, 410

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

715 : 1, 5, 11, 13, 55, 65, 143, 715

724 : 1, 2, 4, 181, 362, 724

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,350,715,724,870, is 1.

Now, the common factors can be found like this.

410:2x 5x 41

350:2x 5x 5x 7

715:5x 11x 13

724:2x 2x 181

870:2x 3x 5x 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 5x 5x 5 = 1000

Therefore, the value for common factors is 1000.

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 = 64627262700000/(1x1000)

LCM = 64627262700000/1000

LCM = 64627262700

Thus, we can understand that the LCM of 410,350,715,724,870 is 64627262700.

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

• LCM of 220, 670, 398, 425, 431
• LCM of 982, 414, 200, 686, 206
• LCM of 139, 573, 871, 474, 705
• LCM of 158, 609, 150, 401, 802
• LCM of 509, 562, 910, 987, 936

1. What is the LCM of 410, 350, 715, 724, 870?

Answer: LCM of 410, 350, 715, 724, 870 is 64627262700.

2. How to calculate the LCM of 410, 350, 715, 724, 870?

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 410, 350, 715, 724, 870.

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}.