LCM of 217, 135, 540, 713, 274
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 217, 135, 540, 713, 274 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 217, 135, 540, 713, 274. So, keep reading to learn more.
Given numbers are 217,135,540,713,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 217,135,540,713,274 is 369234180.
Find LCM of 217,135,540,713,274 with Prime Factorization
| 2 | 217, 135, 540, 713, 274 |
| 3 | 217, 135, 270, 713, 137 |
| 3 | 217, 45, 90, 713, 137 |
| 3 | 217, 15, 30, 713, 137 |
| 5 | 217, 5, 10, 713, 137 |
| 31 | 217, 1, 2, 713, 137 |
| 7, 1, 2, 23, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 31 x 7 x 1 x 2 x 23 x 137 = 369234180
Therefore, the lowest common multiple of 217,135,540,713,274 is 369234180.
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.
217 x 135 x 540 x 713 x 274 = 3090490086600
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.
217 : 1, 7, 31, 217
135 : 1, 3, 5, 9, 15, 27, 45, 135
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
713 : 1, 23, 31, 713
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,135,540,713,274, is 1.
Now, the common factors can be found like this.
217:7x 31
135:3x 3x 3x 5
540:2x 2x 3x 3x 3x 5
713:23x 31
274:2x 137
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 5x 31 = 8370
Therefore, the value for common factors is 8370.
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 = 3090490086600/(1x8370)
LCM = 3090490086600/8370
LCM = 369234180
Thus, we can understand that the LCM of 217,135,540,713,274 is 369234180.
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FAQs on LCM of 217, 135, 540, 713, 274
1. What is the LCM of 217, 135, 540, 713, 274?
Answer: LCM of 217, 135, 540, 713, 274 is 369234180.
2. How to calculate the LCM of 217, 135, 540, 713, 274?
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 217, 135, 540, 713, 274.
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}.