LCM of 417, 139, 840, 269
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 417, 139, 840, 269 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 417, 139, 840, 269. So, keep reading to learn more.
Given numbers are 417,139,840,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 417,139,840,269 is 31408440.
Find LCM of 417,139,840,269 with Prime Factorization
| 3 | 417, 139, 840, 269 |
| 139 | 139, 139, 280, 269 |
| 1, 1, 280, 269 |
Multiply the prime numbers at the bottom and the left side.
3 x 139 x 1 x 1 x 280 x 269 = 31408440
Therefore, the lowest common multiple of 417,139,840,269 is 31408440.
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.
417 x 139 x 840 x 269 = 13097319480
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.
417 : 1, 3, 139, 417
139 : 1, 139
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,139,840,269, is 1.
Now, the common factors can be found like this.
417:3x 139
139:139
840:2x 2x 2x 3x 5x 7
269:269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 139 = 417
Therefore, the value for common factors is 417.
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 = 13097319480/(1x417)
LCM = 13097319480/417
LCM = 31408440
Thus, we can understand that the LCM of 417,139,840,269 is 31408440.
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FAQs on LCM of 417, 139, 840, 269
1. What is the LCM of 417, 139, 840, 269?
Answer: LCM of 417, 139, 840, 269 is 31408440.
2. How to calculate the LCM of 417, 139, 840, 269?
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 417, 139, 840, 269.
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}.