LCM of 416, 843, 577, 840, 258
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 843, 577, 840, 258 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 416, 843, 577, 840, 258. So, keep reading to learn more.
Given numbers are 416,843,577,840,258
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,843,577,840,258 is 304532198880.
Find LCM of 416,843,577,840,258 with Prime Factorization
| 2 | 416, 843, 577, 840, 258 |
| 2 | 208, 843, 577, 420, 129 |
| 2 | 104, 843, 577, 210, 129 |
| 3 | 52, 843, 577, 105, 129 |
| 52, 281, 577, 35, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 52 x 281 x 577 x 35 x 43 = 304532198880
Therefore, the lowest common multiple of 416,843,577,840,258 is 304532198880.
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.
416 x 843 x 577 x 840 x 258 = 43852636638720
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
843 : 1, 3, 281, 843
577 : 1, 577
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
258 : 1, 2, 3, 6, 43, 86, 129, 258
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,843,577,840,258, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
843:3x 281
577:577
840:2x 2x 2x 3x 5x 7
258:2x 3x 43
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 43852636638720/(1x144)
LCM = 43852636638720/144
LCM = 304532198880
Thus, we can understand that the LCM of 416,843,577,840,258 is 304532198880.
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FAQs on LCM of 416, 843, 577, 840, 258
1. What is the LCM of 416, 843, 577, 840, 258?
Answer: LCM of 416, 843, 577, 840, 258 is 304532198880.
2. How to calculate the LCM of 416, 843, 577, 840, 258?
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 416, 843, 577, 840, 258.
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}.