LCM of 549, 304, 383, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 304, 383, 538 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, 304, 383, 538. So, keep reading to learn more.
Given numbers are 549,304,383,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,304,383,538 is 17194794192.
Find LCM of 549,304,383,538 with Prime Factorization
| 2 | 549, 304, 383, 538 |
| 549, 152, 383, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 549 x 152 x 383 x 269 = 17194794192
Therefore, the lowest common multiple of 549,304,383,538 is 17194794192.
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 304 x 383 x 538 = 34389588384
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
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
383 : 1, 383
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,304,383,538, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
304:2x 2x 2x 2x 19
383:383
538:2x 269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 34389588384/(1x2)
LCM = 34389588384/2
LCM = 17194794192
Thus, we can understand that the LCM of 549,304,383,538 is 17194794192.
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FAQs on LCM of 549, 304, 383, 538
1. What is the LCM of 549, 304, 383, 538?
Answer: LCM of 549, 304, 383, 538 is 17194794192.
2. How to calculate the LCM of 549, 304, 383, 538?
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, 304, 383, 538.
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}.