LCM of 169, 594, 414, 942, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 594, 414, 942, 369 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, 414, 942, 369. So, keep reading to learn more.
Given numbers are 169,594,414,942,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,594,414,942,369 is 14862247686.
Find LCM of 169,594,414,942,369 with Prime Factorization
| 2 | 169, 594, 414, 942, 369 |
| 3 | 169, 297, 207, 471, 369 |
| 3 | 169, 99, 69, 157, 123 |
| 169, 33, 23, 157, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 169 x 33 x 23 x 157 x 41 = 14862247686
Therefore, the lowest common multiple of 169,594,414,942,369 is 14862247686.
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 414 x 942 x 369 = 14446104750792
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
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
942 : 1, 2, 3, 6, 157, 314, 471, 942
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,594,414,942,369, is 1.
Now, the common factors can be found like this.
169:13x 13
594:2x 3x 3x 3x 11
414:2x 3x 3x 23
942:2x 3x 157
369:3x 3x 41
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 3x 3x 3x 3x 3 = 972
Therefore, the value for common factors is 972.
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 = 14446104750792/(1x972)
LCM = 14446104750792/972
LCM = 14862247686
Thus, we can understand that the LCM of 169,594,414,942,369 is 14862247686.
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FAQs on LCM of 169, 594, 414, 942, 369
1. What is the LCM of 169, 594, 414, 942, 369?
Answer: LCM of 169, 594, 414, 942, 369 is 14862247686.
2. How to calculate the LCM of 169, 594, 414, 942, 369?
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, 414, 942, 369.
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}.