Given numbers are 240,341,214,634,630

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

The LCM of 240,341,214,634,630 is 58294550160.

Find LCM of 240,341,214,634,630 with Prime Factorization

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

2 x 3 x 5 x 8 x 341 x 107 x 317 x 21 = 58294550160

Therefore, the lowest common multiple of 240,341,214,634,630 is 58294550160.

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.

240 x 341 x 214 x 634 x 630 = 6995346019200

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.

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

341 : 1, 11, 31, 341

214 : 1, 2, 107, 214

634 : 1, 2, 317, 634

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,341,214,634,630, is 1.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

341:11x 31

214:2x 107

634:2x 317

630:2x 3x 3x 5x 7

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 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 6995346019200/(1x120)

LCM = 6995346019200/120

LCM = 58294550160

Thus, we can understand that the LCM of 240,341,214,634,630 is 58294550160.

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

• LCM of 645, 915, 542, 792, 899
• LCM of 607, 499, 667, 337, 851
• LCM of 980, 815, 627, 864, 650
• LCM of 529, 900, 786, 603, 801
• LCM of 769, 365, 162, 314, 198

1. What is the LCM of 240, 341, 214, 634, 630?

Answer: LCM of 240, 341, 214, 634, 630 is 58294550160.

2. How to calculate the LCM of 240, 341, 214, 634, 630?

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 240, 341, 214, 634, 630.

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}.