LCM of 352, 117, 169, 960, 340
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 352, 117, 169, 960, 340 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 352, 117, 169, 960, 340. So, keep reading to learn more.
Given numbers are 352,117,169,960,340
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 352,117,169,960,340 is 91016640.
Find LCM of 352,117,169,960,340 with Prime Factorization
| 2 | 352, 117, 169, 960, 340 |
| 2 | 176, 117, 169, 480, 170 |
| 2 | 88, 117, 169, 240, 85 |
| 2 | 44, 117, 169, 120, 85 |
| 2 | 22, 117, 169, 60, 85 |
| 3 | 11, 117, 169, 30, 85 |
| 5 | 11, 39, 169, 10, 85 |
| 13 | 11, 39, 169, 2, 17 |
| 11, 3, 13, 2, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 11 x 3 x 13 x 2 x 17 = 91016640
Therefore, the lowest common multiple of 352,117,169,960,340 is 91016640.
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.
352 x 117 x 169 x 960 x 340 = 2271775334400
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.
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
117 : 1, 3, 9, 13, 39, 117
169 : 1, 13, 169
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,117,169,960,340, is 1.
Now, the common factors can be found like this.
352:2x 2x 2x 2x 2x 11
117:3x 3x 13
169:13x 13
960:2x 2x 2x 2x 2x 2x 3x 5
340:2x 2x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 3x 5x 13 = 24960
Therefore, the value for common factors is 24960.
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 = 2271775334400/(1x24960)
LCM = 2271775334400/24960
LCM = 91016640
Thus, we can understand that the LCM of 352,117,169,960,340 is 91016640.
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FAQs on LCM of 352, 117, 169, 960, 340
1. What is the LCM of 352, 117, 169, 960, 340?
Answer: LCM of 352, 117, 169, 960, 340 is 91016640.
2. How to calculate the LCM of 352, 117, 169, 960, 340?
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 352, 117, 169, 960, 340.
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}.