Given numbers are 720,475,615,460,238

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

The LCM of 720,475,615,460,238 is 7675642800.

Find LCM of 720,475,615,460,238 with Prime Factorization

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

2 x 2 x 3 x 5 x 12 x 95 x 41 x 23 x 119 = 7675642800

Therefore, the lowest common multiple of 720,475,615,460,238 is 7675642800.

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.

720 x 475 x 615 x 460 x 238 = 23026928400000

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

475 : 1, 5, 19, 25, 95, 475

615 : 1, 3, 5, 15, 41, 123, 205, 615

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,475,615,460,238, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

475:5x 5x 19

615:3x 5x 41

460:2x 2x 5x 23

238:2x 7x 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 2x 3x 5x 5x 5 = 3000

Therefore, the value for common factors is 3000.

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 = 23026928400000/(1x3000)

LCM = 23026928400000/3000

LCM = 7675642800

Thus, we can understand that the LCM of 720,475,615,460,238 is 7675642800.

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

• LCM of 844, 252, 561, 354, 412
• LCM of 273, 472, 268, 631, 296
• LCM of 477, 850, 897, 350, 306
• LCM of 710, 791, 716, 925, 411
• LCM of 737, 509, 574, 392, 985

1. What is the LCM of 720, 475, 615, 460, 238?

Answer: LCM of 720, 475, 615, 460, 238 is 7675642800.

2. How to calculate the LCM of 720, 475, 615, 460, 238?

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 720, 475, 615, 460, 238.

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}.