LCM of 614, 458, 221, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 458, 221, 646 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 614, 458, 221, 646. So, keep reading to learn more.
Given numbers are 614,458,221,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,458,221,646 is 590404594.
Find LCM of 614,458,221,646 with Prime Factorization
| 2 | 614, 458, 221, 646 |
| 17 | 307, 229, 221, 323 |
| 307, 229, 13, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 307 x 229 x 13 x 19 = 590404594
Therefore, the lowest common multiple of 614,458,221,646 is 590404594.
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.
614 x 458 x 221 x 646 = 40147512392
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.
614 : 1, 2, 307, 614
458 : 1, 2, 229, 458
221 : 1, 13, 17, 221
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,458,221,646, is 1.
Now, the common factors can be found like this.
614:2x 307
458:2x 229
221:13x 17
646:2x 17x 19
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 17 = 68
Therefore, the value for common factors is 68.
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 = 40147512392/(1x68)
LCM = 40147512392/68
LCM = 590404594
Thus, we can understand that the LCM of 614,458,221,646 is 590404594.
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FAQs on LCM of 614, 458, 221, 646
1. What is the LCM of 614, 458, 221, 646?
Answer: LCM of 614, 458, 221, 646 is 590404594.
2. How to calculate the LCM of 614, 458, 221, 646?
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 614, 458, 221, 646.
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}.