LCM of 491, 390, 507, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 390, 507, 442 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 491, 390, 507, 442. So, keep reading to learn more.
Given numbers are 491,390,507,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,390,507,442 is 42319290.
Find LCM of 491,390,507,442 with Prime Factorization
| 2 | 491, 390, 507, 442 |
| 3 | 491, 195, 507, 221 |
| 13 | 491, 65, 169, 221 |
| 491, 5, 13, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 491 x 5 x 13 x 17 = 42319290
Therefore, the lowest common multiple of 491,390,507,442 is 42319290.
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.
491 x 390 x 507 x 442 = 42911760060
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.
491 : 1, 491
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
507 : 1, 3, 13, 39, 169, 507
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,390,507,442, is 1.
Now, the common factors can be found like this.
491:491
390:2x 3x 5x 13
507:3x 13x 13
442:2x 13x 17
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 13x 13 = 1014
Therefore, the value for common factors is 1014.
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 = 42911760060/(1x1014)
LCM = 42911760060/1014
LCM = 42319290
Thus, we can understand that the LCM of 491,390,507,442 is 42319290.
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FAQs on LCM of 491, 390, 507, 442
1. What is the LCM of 491, 390, 507, 442?
Answer: LCM of 491, 390, 507, 442 is 42319290.
2. How to calculate the LCM of 491, 390, 507, 442?
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 491, 390, 507, 442.
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}.