LCM of 549, 726, 549, 231, 474
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 726, 549, 231, 474 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, 726, 549, 231, 474. So, keep reading to learn more.
Given numbers are 549,726,549,231,474
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,726,549,231,474 is 73470474.
Find LCM of 549,726,549,231,474 with Prime Factorization
| 2 | 549, 726, 549, 231, 474 |
| 3 | 549, 363, 549, 231, 237 |
| 3 | 183, 121, 183, 77, 79 |
| 11 | 61, 121, 61, 77, 79 |
| 61 | 61, 11, 61, 7, 79 |
| 1, 11, 1, 7, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 61 x 1 x 11 x 1 x 7 x 79 = 73470474
Therefore, the lowest common multiple of 549,726,549,231,474 is 73470474.
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 726 x 549 x 231 x 474 = 23959162394244
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
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
549 : 1, 3, 9, 61, 183, 549
231 : 1, 3, 7, 11, 21, 33, 77, 231
474 : 1, 2, 3, 6, 79, 158, 237, 474
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,726,549,231,474, is 3.
Now, the common factors can be found like this.
549:3x 3x 61
726:2x 3x 11x 11
549:3x 3x 61
231:3x 7x 11
474:2x 3x 79
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 3x 3x 3x 11x 61 = 108702
Therefore, the value for common factors is 108702.
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 = 23959162394244/(3x108702)
LCM = 23959162394244/326106
LCM = 73470474
Thus, we can understand that the LCM of 549,726,549,231,474 is 73470474.
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FAQs on LCM of 549, 726, 549, 231, 474
1. What is the LCM of 549, 726, 549, 231, 474?
Answer: LCM of 549, 726, 549, 231, 474 is 73470474.
2. How to calculate the LCM of 549, 726, 549, 231, 474?
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, 726, 549, 231, 474.
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}.