LCM of 670, 415, 866, 367
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 670, 415, 866, 367 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 670, 415, 866, 367. So, keep reading to learn more.
Given numbers are 670,415,866,367
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,415,866,367 is 8837040710.
Find LCM of 670,415,866,367 with Prime Factorization
| 2 | 670, 415, 866, 367 |
| 5 | 335, 415, 433, 367 |
| 67, 83, 433, 367 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 67 x 83 x 433 x 367 = 8837040710
Therefore, the lowest common multiple of 670,415,866,367 is 8837040710.
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.
670 x 415 x 866 x 367 = 88370407100
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.
670 : 1, 2, 5, 10, 67, 134, 335, 670
415 : 1, 5, 83, 415
866 : 1, 2, 433, 866
367 : 1, 367
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,415,866,367, is 1.
Now, the common factors can be found like this.
670:2x 5x 67
415:5x 83
866:2x 433
367:367
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 88370407100/(1x10)
LCM = 88370407100/10
LCM = 8837040710
Thus, we can understand that the LCM of 670,415,866,367 is 8837040710.
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FAQs on LCM of 670, 415, 866, 367
1. What is the LCM of 670, 415, 866, 367?
Answer: LCM of 670, 415, 866, 367 is 8837040710.
2. How to calculate the LCM of 670, 415, 866, 367?
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 670, 415, 866, 367.
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}.