LCM of 549, 451, 253, 381, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 451, 253, 381, 364 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, 451, 253, 381, 364. So, keep reading to learn more.
Given numbers are 549,451,253,381,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,451,253,381,364 is 263258151156.
Find LCM of 549,451,253,381,364 with Prime Factorization
| 3 | 549, 451, 253, 381, 364 |
| 11 | 183, 451, 253, 127, 364 |
| 183, 41, 23, 127, 364 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 183 x 41 x 23 x 127 x 364 = 263258151156
Therefore, the lowest common multiple of 549,451,253,381,364 is 263258151156.
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 451 x 253 x 381 x 364 = 8687518988148
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
451 : 1, 11, 41, 451
253 : 1, 11, 23, 253
381 : 1, 3, 127, 381
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,451,253,381,364, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
451:11x 41
253:11x 23
381:3x 127
364:2x 2x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11 = 33
Therefore, the value for common factors is 33.
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 = 8687518988148/(1x33)
LCM = 8687518988148/33
LCM = 263258151156
Thus, we can understand that the LCM of 549,451,253,381,364 is 263258151156.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 549, 451, 253, 381, 364
1. What is the LCM of 549, 451, 253, 381, 364?
Answer: LCM of 549, 451, 253, 381, 364 is 263258151156.
2. How to calculate the LCM of 549, 451, 253, 381, 364?
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, 451, 253, 381, 364.
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}.