LCM of 880, 452, 935, 104
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 880, 452, 935, 104 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 880, 452, 935, 104. So, keep reading to learn more.
Given numbers are 880,452,935,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,452,935,104 is 21976240.
Find LCM of 880,452,935,104 with Prime Factorization
| 2 | 880, 452, 935, 104 |
| 2 | 440, 226, 935, 52 |
| 2 | 220, 113, 935, 26 |
| 5 | 110, 113, 935, 13 |
| 11 | 22, 113, 187, 13 |
| 2, 113, 17, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 2 x 113 x 17 x 13 = 21976240
Therefore, the lowest common multiple of 880,452,935,104 is 21976240.
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.
880 x 452 x 935 x 104 = 38678182400
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.
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
452 : 1, 2, 4, 113, 226, 452
935 : 1, 5, 11, 17, 55, 85, 187, 935
104 : 1, 2, 4, 8, 13, 26, 52, 104
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,452,935,104, is 1.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
452:2x 2x 113
935:5x 11x 17
104:2x 2x 2x 13
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 11 = 1760
Therefore, the value for common factors is 1760.
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 = 38678182400/(1x1760)
LCM = 38678182400/1760
LCM = 21976240
Thus, we can understand that the LCM of 880,452,935,104 is 21976240.
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FAQs on LCM of 880, 452, 935, 104
1. What is the LCM of 880, 452, 935, 104?
Answer: LCM of 880, 452, 935, 104 is 21976240.
2. How to calculate the LCM of 880, 452, 935, 104?
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 880, 452, 935, 104.
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}.