Given numbers are 340,205,635,828,220

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

The LCM of 340,205,635,828,220 is 4031155260.

Find LCM of 340,205,635,828,220 with Prime Factorization

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

2 x 2 x 5 x 17 x 41 x 127 x 207 x 11 = 4031155260

Therefore, the lowest common multiple of 340,205,635,828,220 is 4031155260.

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.

340 x 205 x 635 x 828 x 220 = 8062310520000

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

205 : 1, 5, 41, 205

635 : 1, 5, 127, 635

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,205,635,828,220, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

205:5x 41

635:5x 127

828:2x 2x 3x 3x 23

220:2x 2x 5x 11

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 5x 5 = 2000

Therefore, the value for common factors is 2000.

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 = 8062310520000/(1x2000)

LCM = 8062310520000/2000

LCM = 4031155260

Thus, we can understand that the LCM of 340,205,635,828,220 is 4031155260.

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

• LCM of 937, 251, 124, 249, 906
• LCM of 863, 592, 559, 464, 816
• LCM of 145, 429, 889, 411, 233
• LCM of 579, 100, 377, 833, 775
• LCM of 377, 971, 162, 385, 503

1. What is the LCM of 340, 205, 635, 828, 220?

Answer: LCM of 340, 205, 635, 828, 220 is 4031155260.

2. How to calculate the LCM of 340, 205, 635, 828, 220?

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 340, 205, 635, 828, 220.

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}.