Given numbers are 410,920,214,600

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

The LCM of 410,920,214,600 is 60540600.

Find LCM of 410,920,214,600 with Prime Factorization

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

2 x 2 x 2 x 5 x 41 x 23 x 107 x 15 = 60540600

Therefore, the lowest common multiple of 410,920,214,600 is 60540600.

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 920 x 214 x 600 = 48432480000

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

214 : 1, 2, 107, 214

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,920,214,600, is 2.

Now, the common factors can be found like this.

410:2x 5x 41

920:2x 2x 2x 5x 23

214:2x 107

600:2x 2x 2x 3x 5x 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 2x 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 48432480000/(2x400)

LCM = 48432480000/800

LCM = 60540600

Thus, we can understand that the LCM of 410,920,214,600 is 60540600.

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

• LCM of 696, 868, 535, 800
• LCM of 208, 561, 874, 688
• LCM of 794, 984, 232, 649
• LCM of 389, 794, 571, 175
• LCM of 254, 284, 304, 309

1. What is the LCM of 410, 920, 214, 600?

Answer: LCM of 410, 920, 214, 600 is 60540600.

2. How to calculate the LCM of 410, 920, 214, 600?

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, 920, 214, 600.

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}.