Given numbers are 240,280,638,726,283

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

The LCM of 240,280,638,726,283 is 1668318960.

Find LCM of 240,280,638,726,283 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 2 x 7 x 29 x 11 x 283 = 1668318960

Therefore, the lowest common multiple of 240,280,638,726,283 is 1668318960.

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.

240 x 280 x 638 x 726 x 283 = 8808724108800

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.

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

638 : 1, 2, 11, 22, 29, 58, 319, 638

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

283 : 1, 283

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,280,638,726,283, is 1.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

280:2x 2x 2x 5x 7

638:2x 11x 29

726:2x 3x 11x 11

283:283

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 2x 3x 5x 11 = 5280

Therefore, the value for common factors is 5280.

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 = 8808724108800/(1x5280)

LCM = 8808724108800/5280

LCM = 1668318960

Thus, we can understand that the LCM of 240,280,638,726,283 is 1668318960.

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

• LCM of 910, 268, 162, 423, 217
• LCM of 146, 186, 718, 725, 691
• LCM of 124, 146, 502, 311, 719
• LCM of 738, 891, 877, 932, 167
• LCM of 516, 887, 938, 832, 993

1. What is the LCM of 240, 280, 638, 726, 283?

Answer: LCM of 240, 280, 638, 726, 283 is 1668318960.

2. How to calculate the LCM of 240, 280, 638, 726, 283?

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 240, 280, 638, 726, 283.

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}.