LCM of 169, 594, 684, 786, 554
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 594, 684, 786, 554 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, 594, 684, 786, 554. So, keep reading to learn more.
Given numbers are 169,594,684,786,554
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,594,684,786,554 is 138422857716.
Find LCM of 169,594,684,786,554 with Prime Factorization
| 2 | 169, 594, 684, 786, 554 |
| 3 | 169, 297, 342, 393, 277 |
| 3 | 169, 99, 114, 131, 277 |
| 169, 33, 38, 131, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 169 x 33 x 38 x 131 x 277 = 138422857716
Therefore, the lowest common multiple of 169,594,684,786,554 is 138422857716.
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 594 x 684 x 786 x 554 = 29899337266656
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
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
786 : 1, 2, 3, 6, 131, 262, 393, 786
554 : 1, 2, 277, 554
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,594,684,786,554, is 1.
Now, the common factors can be found like this.
169:13x 13
594:2x 3x 3x 3x 11
684:2x 2x 3x 3x 19
786:2x 3x 131
554:2x 277
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 29899337266656/(1x216)
LCM = 29899337266656/216
LCM = 138422857716
Thus, we can understand that the LCM of 169,594,684,786,554 is 138422857716.
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FAQs on LCM of 169, 594, 684, 786, 554
1. What is the LCM of 169, 594, 684, 786, 554?
Answer: LCM of 169, 594, 684, 786, 554 is 138422857716.
2. How to calculate the LCM of 169, 594, 684, 786, 554?
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, 594, 684, 786, 554.
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}.