LCM of 520, 445, 104, 263, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 520, 445, 104, 263, 868 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 520, 445, 104, 263, 868. So, keep reading to learn more.
Given numbers are 520,445,104,263,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 520,445,104,263,868 is 2641245880.
Find LCM of 520,445,104,263,868 with Prime Factorization
| 2 | 520, 445, 104, 263, 868 |
| 2 | 260, 445, 52, 263, 434 |
| 2 | 130, 445, 26, 263, 217 |
| 5 | 65, 445, 13, 263, 217 |
| 13 | 13, 89, 13, 263, 217 |
| 1, 89, 1, 263, 217 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 13 x 1 x 89 x 1 x 263 x 217 = 2641245880
Therefore, the lowest common multiple of 520,445,104,263,868 is 2641245880.
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.
520 x 445 x 104 x 263 x 868 = 5493791430400
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.
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
445 : 1, 5, 89, 445
104 : 1, 2, 4, 8, 13, 26, 52, 104
263 : 1, 263
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,445,104,263,868, is 1.
Now, the common factors can be found like this.
520:2x 2x 2x 5x 13
445:5x 89
104:2x 2x 2x 13
263:263
868:2x 2x 7x 31
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 5x 13 = 2080
Therefore, the value for common factors is 2080.
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 = 5493791430400/(1x2080)
LCM = 5493791430400/2080
LCM = 2641245880
Thus, we can understand that the LCM of 520,445,104,263,868 is 2641245880.
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FAQs on LCM of 520, 445, 104, 263, 868
1. What is the LCM of 520, 445, 104, 263, 868?
Answer: LCM of 520, 445, 104, 263, 868 is 2641245880.
2. How to calculate the LCM of 520, 445, 104, 263, 868?
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 520, 445, 104, 263, 868.
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}.