LCM of 627, 407, 666, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 407, 666, 319 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 627, 407, 666, 319. So, keep reading to learn more.
Given numbers are 627,407,666,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,407,666,319 is 4036626.
Find LCM of 627,407,666,319 with Prime Factorization
| 3 | 627, 407, 666, 319 |
| 11 | 209, 407, 222, 319 |
| 37 | 19, 37, 222, 29 |
| 19, 1, 6, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 37 x 19 x 1 x 6 x 29 = 4036626
Therefore, the lowest common multiple of 627,407,666,319 is 4036626.
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.
627 x 407 x 666 x 319 = 54215923806
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
407 : 1, 11, 37, 407
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,407,666,319, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
407:11x 37
666:2x 3x 3x 37
319:11x 29
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 11x 37 = 13431
Therefore, the value for common factors is 13431.
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 = 54215923806/(1x13431)
LCM = 54215923806/13431
LCM = 4036626
Thus, we can understand that the LCM of 627,407,666,319 is 4036626.
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FAQs on LCM of 627, 407, 666, 319
1. What is the LCM of 627, 407, 666, 319?
Answer: LCM of 627, 407, 666, 319 is 4036626.
2. How to calculate the LCM of 627, 407, 666, 319?
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 627, 407, 666, 319.
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}.