LCM of 549, 245, 503, 135, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 245, 503, 135, 612 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, 245, 503, 135, 612. So, keep reading to learn more.
Given numbers are 549,245,503,135,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,245,503,135,612 is 13801827060.
Find LCM of 549,245,503,135,612 with Prime Factorization
| 3 | 549, 245, 503, 135, 612 |
| 3 | 183, 245, 503, 45, 204 |
| 5 | 61, 245, 503, 15, 68 |
| 61, 49, 503, 3, 68 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 61 x 49 x 503 x 3 x 68 = 13801827060
Therefore, the lowest common multiple of 549,245,503,135,612 is 13801827060.
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 245 x 503 x 135 x 612 = 5589739959300
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
245 : 1, 5, 7, 35, 49, 245
503 : 1, 503
135 : 1, 3, 5, 9, 15, 27, 45, 135
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,245,503,135,612, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
245:5x 7x 7
503:503
135:3x 3x 3x 5
612:2x 2x 3x 3x 17
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 3x 3x 5 = 405
Therefore, the value for common factors is 405.
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 = 5589739959300/(1x405)
LCM = 5589739959300/405
LCM = 13801827060
Thus, we can understand that the LCM of 549,245,503,135,612 is 13801827060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 549, 245, 503, 135, 612
1. What is the LCM of 549, 245, 503, 135, 612?
Answer: LCM of 549, 245, 503, 135, 612 is 13801827060.
2. How to calculate the LCM of 549, 245, 503, 135, 612?
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, 245, 503, 135, 612.
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}.