Given numbers are 240,112,638,239,910

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

The LCM of 240,112,638,239,910 is 1665103440.

Find LCM of 240,112,638,239,910 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 7 x 3 x 1 x 319 x 239 x 13 = 1665103440

Therefore, the lowest common multiple of 240,112,638,239,910 is 1665103440.

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 112 x 638 x 239 x 910 = 3729831705600

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

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

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

239 : 1, 239

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,112,638,239,910, is 1.

Now, the common factors can be found like this.

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

112:2x 2x 2x 2x 7

638:2x 11x 29

239:239

910:2x 5x 7x 13

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 2x 5x 7 = 2240

Therefore, the value for common factors is 2240.

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 = 3729831705600/(1x2240)

LCM = 3729831705600/2240

LCM = 1665103440

Thus, we can understand that the LCM of 240,112,638,239,910 is 1665103440.

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

• LCM of 919, 150, 397, 211, 827
• LCM of 449, 225, 668, 793, 121
• LCM of 966, 947, 121, 343, 132
• LCM of 999, 396, 944, 157, 721
• LCM of 355, 953, 946, 387, 660

1. What is the LCM of 240, 112, 638, 239, 910?

Answer: LCM of 240, 112, 638, 239, 910 is 1665103440.

2. How to calculate the LCM of 240, 112, 638, 239, 910?

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, 112, 638, 239, 910.

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}.