Given numbers are 910,828,457,912,140

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

The LCM of 910,828,457,912,140 is 13084933680.

Find LCM of 910,828,457,912,140 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 13 x 69 x 457 x 76 x 1 = 13084933680

Therefore, the lowest common multiple of 910,828,457,912,140 is 13084933680.

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 828 x 457 x 912 x 140 = 43965377164800

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

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

457 : 1, 457

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,828,457,912,140, is 1.

Now, the common factors can be found like this.

910:2x 5x 7x 13

828:2x 2x 3x 3x 23

457:457

912:2x 2x 2x 2x 3x 19

140:2x 2x 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 2x 2x 3x 5x 7 = 3360

Therefore, the value for common factors is 3360.

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 = 43965377164800/(1x3360)

LCM = 43965377164800/3360

LCM = 13084933680

Thus, we can understand that the LCM of 910,828,457,912,140 is 13084933680.

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

• LCM of 555, 428, 441, 842, 681
• LCM of 520, 878, 506, 856, 873
• LCM of 947, 826, 856, 147, 971
• LCM of 293, 959, 838, 323, 878
• LCM of 794, 805, 461, 940, 126

1. What is the LCM of 910, 828, 457, 912, 140?

Answer: LCM of 910, 828, 457, 912, 140 is 13084933680.

2. How to calculate the LCM of 910, 828, 457, 912, 140?

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, 828, 457, 912, 140.

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}.