LCM of 687, 185, 407, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 687, 185, 407, 858 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 687, 185, 407, 858. So, keep reading to learn more.
Given numbers are 687,185,407,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,185,407,858 is 36349170.
Find LCM of 687,185,407,858 with Prime Factorization
| 3 | 687, 185, 407, 858 |
| 11 | 229, 185, 407, 286 |
| 37 | 229, 185, 37, 26 |
| 229, 5, 1, 26 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 37 x 229 x 5 x 1 x 26 = 36349170
Therefore, the lowest common multiple of 687,185,407,858 is 36349170.
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.
687 x 185 x 407 x 858 = 44382336570
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.
687 : 1, 3, 229, 687
185 : 1, 5, 37, 185
407 : 1, 11, 37, 407
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,185,407,858, is 1.
Now, the common factors can be found like this.
687:3x 229
185:5x 37
407:11x 37
858:2x 3x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 37 = 1221
Therefore, the value for common factors is 1221.
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 = 44382336570/(1x1221)
LCM = 44382336570/1221
LCM = 36349170
Thus, we can understand that the LCM of 687,185,407,858 is 36349170.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 687, 185, 407, 858
1. What is the LCM of 687, 185, 407, 858?
Answer: LCM of 687, 185, 407, 858 is 36349170.
2. How to calculate the LCM of 687, 185, 407, 858?
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 687, 185, 407, 858.
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}.