Given numbers are 880,912,414,838,942

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

The LCM of 880,912,414,838,942 is 227677594320.

Find LCM of 880,912,414,838,942 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 55 x 19 x 69 x 419 x 157 = 227677594320

Therefore, the lowest common multiple of 880,912,414,838,942 is 227677594320.

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.

880 x 912 x 414 x 838 x 942 = 262284588656640

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.

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

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

838 : 1, 2, 419, 838

942 : 1, 2, 3, 6, 157, 314, 471, 942

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,912,414,838,942, is 2.

Now, the common factors can be found like this.

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

912:2x 2x 2x 2x 3x 19

414:2x 3x 3x 23

838:2x 419

942:2x 3x 157

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 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 262284588656640/(2x576)

LCM = 262284588656640/1152

LCM = 227677594320

Thus, we can understand that the LCM of 880,912,414,838,942 is 227677594320.

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

• LCM of 582, 604, 752, 762, 926
• LCM of 603, 721, 385, 774, 303
• LCM of 308, 531, 454, 743, 314
• LCM of 332, 107, 513, 379, 175
• LCM of 415, 585, 708, 168, 526

1. What is the LCM of 880, 912, 414, 838, 942?

Answer: LCM of 880, 912, 414, 838, 942 is 227677594320.

2. How to calculate the LCM of 880, 912, 414, 838, 942?

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 880, 912, 414, 838, 942.

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}.