LCM of 549, 841, 435, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 841, 435, 309 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, 841, 435, 309. So, keep reading to learn more.
Given numbers are 549,841,435,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,841,435,309 is 237780135.
Find LCM of 549,841,435,309 with Prime Factorization
| 3 | 549, 841, 435, 309 |
| 29 | 183, 841, 145, 103 |
| 183, 29, 5, 103 |
Multiply the prime numbers at the bottom and the left side.
3 x 29 x 183 x 29 x 5 x 103 = 237780135
Therefore, the lowest common multiple of 549,841,435,309 is 237780135.
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 841 x 435 x 309 = 62060615235
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
841 : 1, 29, 841
435 : 1, 3, 5, 15, 29, 87, 145, 435
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,841,435,309, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
841:29x 29
435:3x 5x 29
309:3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 29 = 261
Therefore, the value for common factors is 261.
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 = 62060615235/(1x261)
LCM = 62060615235/261
LCM = 237780135
Thus, we can understand that the LCM of 549,841,435,309 is 237780135.
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FAQs on LCM of 549, 841, 435, 309
1. What is the LCM of 549, 841, 435, 309?
Answer: LCM of 549, 841, 435, 309 is 237780135.
2. How to calculate the LCM of 549, 841, 435, 309?
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, 841, 435, 309.
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}.