Given numbers are 720,167,198,348,378

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

The LCM of 720,167,198,348,378 is 805487760.

Find LCM of 720,167,198,348,378 with Prime Factorization

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

2 x 2 x 3 x 3 x 20 x 167 x 11 x 29 x 21 = 805487760

Therefore, the lowest common multiple of 720,167,198,348,378 is 805487760.

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 167 x 198 x 348 x 378 = 3131736410880

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

167 : 1, 167

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,167,198,348,378, is 1.

Now, the common factors can be found like this.

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

167:167

198:2x 3x 3x 11

348:2x 2x 3x 29

378:2x 3x 3x 3x 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 3x 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 3131736410880/(1x3888)

LCM = 3131736410880/3888

LCM = 805487760

Thus, we can understand that the LCM of 720,167,198,348,378 is 805487760.

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

• LCM of 163, 640, 379, 671, 428
• LCM of 272, 220, 930, 400, 992
• LCM of 590, 437, 335, 826, 850
• LCM of 274, 540, 814, 190, 870
• LCM of 709, 662, 746, 669, 302

1. What is the LCM of 720, 167, 198, 348, 378?

Answer: LCM of 720, 167, 198, 348, 378 is 805487760.

2. How to calculate the LCM of 720, 167, 198, 348, 378?

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, 167, 198, 348, 378.

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}.