Given numbers are 168,243,470,715,510

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

The LCM of 168,243,470,715,510 is 7774046280.

Find LCM of 168,243,470,715,510 with Prime Factorization

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

2 x 3 x 5 x 28 x 81 x 47 x 143 x 17 = 7774046280

Therefore, the lowest common multiple of 168,243,470,715,510 is 7774046280.

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.

168 x 243 x 470 x 715 x 510 = 6996641652000

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.

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

243 : 1, 3, 9, 27, 81, 243

470 : 1, 2, 5, 10, 47, 94, 235, 470

715 : 1, 5, 11, 13, 55, 65, 143, 715

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,243,470,715,510, is 1.

Now, the common factors can be found like this.

168:2x 2x 2x 3x 7

243:3x 3x 3x 3x 3

470:2x 5x 47

715:5x 11x 13

510:2x 3x 5x 17

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 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 6996641652000/(1x900)

LCM = 6996641652000/900

LCM = 7774046280

Thus, we can understand that the LCM of 168,243,470,715,510 is 7774046280.

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

• LCM of 193, 693, 776, 267, 189
• LCM of 331, 768, 610, 416, 772
• LCM of 653, 872, 694, 987, 762
• LCM of 627, 723, 654, 411, 539
• LCM of 354, 116, 461, 797, 774

1. What is the LCM of 168, 243, 470, 715, 510?

Answer: LCM of 168, 243, 470, 715, 510 is 7774046280.

2. How to calculate the LCM of 168, 243, 470, 715, 510?

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 168, 243, 470, 715, 510.

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}.