LCM of 549, 404, 428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 404, 428 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 549, 404, 428. So, keep reading to learn more.
Given numbers are 549,404,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,404,428 is 23732172.
Find LCM of 549,404,428 with Prime Factorization
| 2 | 549, 404, 428 |
| 2 | 549, 202, 214 |
| 549, 101, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 549 x 101 x 107 = 23732172
Therefore, the lowest common multiple of 549,404,428 is 23732172.
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.
549 x 404 x 428 = 94928688
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.
549 : 1, 3, 9, 61, 183, 549
404 : 1, 2, 4, 101, 202, 404
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,404,428, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
404:2x 2x 101
428:2x 2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 94928688/(1x4)
LCM = 94928688/4
LCM = 23732172
Thus, we can understand that the LCM of 549,404,428 is 23732172.
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FAQs on LCM of 549, 404, 428
1. What is the LCM of 549, 404, 428?
Answer: LCM of 549, 404, 428 is 23732172.
2. How to calculate the LCM of 549, 404, 428?
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 549, 404, 428.
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}.