LCM of 169, 413, 784, 144, 234
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 413, 784, 144, 234 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 169, 413, 784, 144, 234. So, keep reading to learn more.
Given numbers are 169,413,784,144,234
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,413,784,144,234 is 70355376.
Find LCM of 169,413,784,144,234 with Prime Factorization
| 2 | 169, 413, 784, 144, 234 |
| 2 | 169, 413, 392, 72, 117 |
| 2 | 169, 413, 196, 36, 117 |
| 2 | 169, 413, 98, 18, 117 |
| 3 | 169, 413, 49, 9, 117 |
| 3 | 169, 413, 49, 3, 39 |
| 7 | 169, 413, 49, 1, 13 |
| 13 | 169, 59, 7, 1, 13 |
| 1, 59, 7, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 7 x 13 x 1 x 59 x 7 x 1 x 13 = 70355376
Therefore, the lowest common multiple of 169,413,784,144,234 is 70355376.
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.
169 x 413 x 784 x 144 x 234 = 1843873694208
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.
169 : 1, 13, 169
413 : 1, 7, 59, 413
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,413,784,144,234, is 1.
Now, the common factors can be found like this.
169:13x 13
413:7x 59
784:2x 2x 2x 2x 7x 7
144:2x 2x 2x 2x 3x 3
234:2x 3x 3x 13
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 3x 3x 7x 13 = 26208
Therefore, the value for common factors is 26208.
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 = 1843873694208/(1x26208)
LCM = 1843873694208/26208
LCM = 70355376
Thus, we can understand that the LCM of 169,413,784,144,234 is 70355376.
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FAQs on LCM of 169, 413, 784, 144, 234
1. What is the LCM of 169, 413, 784, 144, 234?
Answer: LCM of 169, 413, 784, 144, 234 is 70355376.
2. How to calculate the LCM of 169, 413, 784, 144, 234?
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 169, 413, 784, 144, 234.
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}.