LCM of 173, 149, 867, 858, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 173, 149, 867, 858, 312 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 173, 149, 867, 858, 312. So, keep reading to learn more.
Given numbers are 173,149,867,858,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 173,149,867,858,312 is 25566865896.
Find LCM of 173,149,867,858,312 with Prime Factorization
| 2 | 173, 149, 867, 858, 312 |
| 3 | 173, 149, 867, 429, 156 |
| 13 | 173, 149, 289, 143, 52 |
| 173, 149, 289, 11, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 173 x 149 x 289 x 11 x 4 = 25566865896
Therefore, the lowest common multiple of 173,149,867,858,312 is 25566865896.
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.
173 x 149 x 867 x 858 x 312 = 5982646619664
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.
173 : 1, 173
149 : 1, 149
867 : 1, 3, 17, 51, 289, 867
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,149,867,858,312, is 1.
Now, the common factors can be found like this.
173:173
149:149
867:3x 17x 17
858:2x 3x 11x 13
312:2x 2x 2x 3x 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 3x 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 5982646619664/(1x234)
LCM = 5982646619664/234
LCM = 25566865896
Thus, we can understand that the LCM of 173,149,867,858,312 is 25566865896.
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FAQs on LCM of 173, 149, 867, 858, 312
1. What is the LCM of 173, 149, 867, 858, 312?
Answer: LCM of 173, 149, 867, 858, 312 is 25566865896.
2. How to calculate the LCM of 173, 149, 867, 858, 312?
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 173, 149, 867, 858, 312.
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}.