LCM of 874, 667, 894, 171, 888
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 667, 894, 171, 888 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 874, 667, 894, 171, 888. So, keep reading to learn more.
Given numbers are 874,667,894,171,888
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,667,894,171,888 is 5030369928.
Find LCM of 874,667,894,171,888 with Prime Factorization
| 2 | 874, 667, 894, 171, 888 |
| 3 | 437, 667, 447, 171, 444 |
| 19 | 437, 667, 149, 57, 148 |
| 23 | 23, 667, 149, 3, 148 |
| 1, 29, 149, 3, 148 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 23 x 1 x 29 x 149 x 3 x 148 = 5030369928
Therefore, the lowest common multiple of 874,667,894,171,888 is 5030369928.
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.
874 x 667 x 894 x 171 x 888 = 79137779707296
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
667 : 1, 23, 29, 667
894 : 1, 2, 3, 6, 149, 298, 447, 894
171 : 1, 3, 9, 19, 57, 171
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,667,894,171,888, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
667:23x 29
894:2x 3x 149
171:3x 3x 19
888:2x 2x 2x 3x 37
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 3x 3x 19x 23 = 15732
Therefore, the value for common factors is 15732.
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 = 79137779707296/(1x15732)
LCM = 79137779707296/15732
LCM = 5030369928
Thus, we can understand that the LCM of 874,667,894,171,888 is 5030369928.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 874, 667, 894, 171, 888
1. What is the LCM of 874, 667, 894, 171, 888?
Answer: LCM of 874, 667, 894, 171, 888 is 5030369928.
2. How to calculate the LCM of 874, 667, 894, 171, 888?
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 874, 667, 894, 171, 888.
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}.