LCM of 277, 509, 951, 384, 509
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 277, 509, 951, 384, 509 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 277, 509, 951, 384, 509. So, keep reading to learn more.
Given numbers are 277,509,951,384,509
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 277,509,951,384,509 is 17162795904.
Find LCM of 277,509,951,384,509 with Prime Factorization
| 3 | 277, 509, 951, 384, 509 |
| 509 | 277, 509, 317, 128, 509 |
| 277, 1, 317, 128, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 509 x 277 x 1 x 317 x 128 x 1 = 17162795904
Therefore, the lowest common multiple of 277,509,951,384,509 is 17162795904.
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.
277 x 509 x 951 x 384 x 509 = 26207589345408
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.
277 : 1, 277
509 : 1, 509
951 : 1, 3, 317, 951
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
509 : 1, 509
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,509,951,384,509, is 1.
Now, the common factors can be found like this.
277:277
509:509
951:3x 317
384:2x 2x 2x 2x 2x 2x 2x 3
509:509
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 509 = 1527
Therefore, the value for common factors is 1527.
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 = 26207589345408/(1x1527)
LCM = 26207589345408/1527
LCM = 17162795904
Thus, we can understand that the LCM of 277,509,951,384,509 is 17162795904.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 277, 509, 951, 384, 509
1. What is the LCM of 277, 509, 951, 384, 509?
Answer: LCM of 277, 509, 951, 384, 509 is 17162795904.
2. How to calculate the LCM of 277, 509, 951, 384, 509?
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 277, 509, 951, 384, 509.
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}.