Given numbers are 910,270,144,214,681

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

The LCM of 910,270,144,214,681 is 4774245840.

Find LCM of 910,270,144,214,681 with Prime Factorization

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

2 x 3 x 3 x 5 x 91 x 3 x 8 x 107 x 227 = 4774245840

Therefore, the lowest common multiple of 910,270,144,214,681 is 4774245840.

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.

910 x 270 x 144 x 214 x 681 = 5156185507200

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

214 : 1, 2, 107, 214

681 : 1, 3, 227, 681

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,270,144,214,681, is 1.

Now, the common factors can be found like this.

910:2x 5x 7x 13

270:2x 3x 3x 3x 5

144:2x 2x 2x 2x 3x 3

214:2x 107

681:3x 227

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 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 5156185507200/(1x1080)

LCM = 5156185507200/1080

LCM = 4774245840

Thus, we can understand that the LCM of 910,270,144,214,681 is 4774245840.

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

• LCM of 219, 133, 307, 206, 189
• LCM of 903, 167, 394, 300, 222
• LCM of 538, 713, 190, 788, 354
• LCM of 776, 232, 389, 871, 366
• LCM of 383, 175, 627, 461, 629

1. What is the LCM of 910, 270, 144, 214, 681?

Answer: LCM of 910, 270, 144, 214, 681 is 4774245840.

2. How to calculate the LCM of 910, 270, 144, 214, 681?

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 910, 270, 144, 214, 681.

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}.