Given numbers are 889,391,792,946,171

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

The LCM of 889,391,792,946,171 is 224918799336.

Find LCM of 889,391,792,946,171 with Prime Factorization

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

2 x 3 x 3 x 11 x 889 x 391 x 4 x 43 x 19 = 224918799336

Therefore, the lowest common multiple of 889,391,792,946,171 is 224918799336.

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.

889 x 391 x 792 x 946 x 171 = 44533922268528

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.

889 : 1, 7, 127, 889

391 : 1, 17, 23, 391

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

946 : 1, 2, 11, 22, 43, 86, 473, 946

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,391,792,946,171, is 1.

Now, the common factors can be found like this.

889:7x 127

391:17x 23

792:2x 2x 2x 3x 3x 11

946:2x 11x 43

171:3x 3x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 11 = 198

Therefore, the value for common factors is 198.

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 = 44533922268528/(1x198)

LCM = 44533922268528/198

LCM = 224918799336

Thus, we can understand that the LCM of 889,391,792,946,171 is 224918799336.

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

• LCM of 740, 876, 482, 488, 612
• LCM of 418, 753, 468, 519, 314
• LCM of 964, 617, 308, 797, 837
• LCM of 606, 751, 895, 901, 773
• LCM of 307, 869, 407, 556, 152

1. What is the LCM of 889, 391, 792, 946, 171?

Answer: LCM of 889, 391, 792, 946, 171 is 224918799336.

2. How to calculate the LCM of 889, 391, 792, 946, 171?

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 889, 391, 792, 946, 171.

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}.