Given numbers are 720,514,167,974,257

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

The LCM of 720,514,167,974,257 is 15049118160.

Find LCM of 720,514,167,974,257 with Prime Factorization

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

2 x 257 x 360 x 1 x 167 x 487 x 1 = 15049118160

Therefore, the lowest common multiple of 720,514,167,974,257 is 15049118160.

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 514 x 167 x 974 x 257 = 15470493468480

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

514 : 1, 2, 257, 514

167 : 1, 167

974 : 1, 2, 487, 974

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,514,167,974,257, is 1.

Now, the common factors can be found like this.

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

514:2x 257

167:167

974:2x 487

257:257

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 257 = 1028

Therefore, the value for common factors is 1028.

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 = 15470493468480/(1x1028)

LCM = 15470493468480/1028

LCM = 15049118160

Thus, we can understand that the LCM of 720,514,167,974,257 is 15049118160.

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

• LCM of 509, 589, 786, 248, 709
• LCM of 697, 978, 750, 233, 147
• LCM of 118, 656, 298, 520, 356
• LCM of 653, 389, 688, 802, 325
• LCM of 912, 329, 361, 640, 940

1. What is the LCM of 720, 514, 167, 974, 257?

Answer: LCM of 720, 514, 167, 974, 257 is 15049118160.

2. How to calculate the LCM of 720, 514, 167, 974, 257?

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, 514, 167, 974, 257.

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}.