Given numbers are 338,880,225,838,110

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

The LCM of 338,880,225,838,110 is 2804115600.

Find LCM of 338,880,225,838,110 with Prime Factorization

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

2 x 5 x 11 x 169 x 8 x 45 x 419 x 1 = 2804115600

Therefore, the lowest common multiple of 338,880,225,838,110 is 2804115600.

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.

338 x 880 x 225 x 838 x 110 = 6169054320000

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.

338 : 1, 2, 13, 26, 169, 338

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

838 : 1, 2, 419, 838

110 : 1, 2, 5, 10, 11, 22, 55, 110

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,880,225,838,110, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

880:2x 2x 2x 2x 5x 11

225:3x 3x 5x 5

838:2x 419

110:2x 5x 11

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 5x 5x 11 = 2200

Therefore, the value for common factors is 2200.

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 = 6169054320000/(1x2200)

LCM = 6169054320000/2200

LCM = 2804115600

Thus, we can understand that the LCM of 338,880,225,838,110 is 2804115600.

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

• LCM of 596, 895, 147, 372, 113
• LCM of 801, 631, 841, 929, 241
• LCM of 447, 334, 488, 907, 112
• LCM of 223, 739, 187, 372, 263
• LCM of 349, 667, 931, 901, 442

1. What is the LCM of 338, 880, 225, 838, 110?

Answer: LCM of 338, 880, 225, 838, 110 is 2804115600.

2. How to calculate the LCM of 338, 880, 225, 838, 110?

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 338, 880, 225, 838, 110.

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}.