LCM of 104, 517, 589, 868, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 104, 517, 589, 868, 946 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 104, 517, 589, 868, 946. So, keep reading to learn more.
Given numbers are 104,517,589,868,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,517,589,868,946 is 9532474952.
Find LCM of 104,517,589,868,946 with Prime Factorization
| 2 | 104, 517, 589, 868, 946 |
| 2 | 52, 517, 589, 434, 473 |
| 11 | 26, 517, 589, 217, 473 |
| 31 | 26, 47, 589, 217, 43 |
| 26, 47, 19, 7, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 31 x 26 x 47 x 19 x 7 x 43 = 9532474952
Therefore, the lowest common multiple of 104,517,589,868,946 is 9532474952.
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.
104 x 517 x 589 x 868 x 946 = 26004591669056
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
517 : 1, 11, 47, 517
589 : 1, 19, 31, 589
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,517,589,868,946, is 1.
Now, the common factors can be found like this.
104:2x 2x 2x 13
517:11x 47
589:19x 31
868:2x 2x 7x 31
946:2x 11x 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 11x 31 = 2728
Therefore, the value for common factors is 2728.
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 = 26004591669056/(1x2728)
LCM = 26004591669056/2728
LCM = 9532474952
Thus, we can understand that the LCM of 104,517,589,868,946 is 9532474952.
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FAQs on LCM of 104, 517, 589, 868, 946
1. What is the LCM of 104, 517, 589, 868, 946?
Answer: LCM of 104, 517, 589, 868, 946 is 9532474952.
2. How to calculate the LCM of 104, 517, 589, 868, 946?
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 104, 517, 589, 868, 946.
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}.