Given numbers are 813,168,360,273,627

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

The LCM of 813,168,360,273,627 is 1855493640.

Find LCM of 813,168,360,273,627 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 271 x 1 x 15 x 13 x 209 = 1855493640

Therefore, the lowest common multiple of 813,168,360,273,627 is 1855493640.

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.

813 x 168 x 360 x 273 x 627 = 8416519151040

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.

813 : 1, 3, 271, 813

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

273 : 1, 3, 7, 13, 21, 39, 91, 273

627 : 1, 3, 11, 19, 33, 57, 209, 627

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,168,360,273,627, is 3.

Now, the common factors can be found like this.

813:3x 271

168:2x 2x 2x 3x 7

360:2x 2x 2x 3x 3x 5

273:3x 7x 13

627:3x 11x 19

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 7 = 1512

Therefore, the value for common factors is 1512.

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 = 8416519151040/(3x1512)

LCM = 8416519151040/4536

LCM = 1855493640

Thus, we can understand that the LCM of 813,168,360,273,627 is 1855493640.

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

• LCM of 982, 983, 712, 496, 869
• LCM of 174, 127, 431, 668, 813
• LCM of 721, 472, 883, 573, 851
• LCM of 649, 824, 814, 306, 812
• LCM of 858, 625, 834, 572, 314

1. What is the LCM of 813, 168, 360, 273, 627?

Answer: LCM of 813, 168, 360, 273, 627 is 1855493640.

2. How to calculate the LCM of 813, 168, 360, 273, 627?

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 813, 168, 360, 273, 627.

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}.