LCM of 914, 264, 946, 586, 880
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 264, 946, 586, 880 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 914, 264, 946, 586, 880. So, keep reading to learn more.
Given numbers are 914,264,946,586,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,264,946,586,880 is 15200441520.
Find LCM of 914,264,946,586,880 with Prime Factorization
| 2 | 914, 264, 946, 586, 880 |
| 2 | 457, 132, 473, 293, 440 |
| 2 | 457, 66, 473, 293, 220 |
| 11 | 457, 33, 473, 293, 110 |
| 457, 3, 43, 293, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 457 x 3 x 43 x 293 x 10 = 15200441520
Therefore, the lowest common multiple of 914,264,946,586,880 is 15200441520.
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.
914 x 264 x 946 x 586 x 880 = 117712219130880
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.
914 : 1, 2, 457, 914
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
946 : 1, 2, 11, 22, 43, 86, 473, 946
586 : 1, 2, 293, 586
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,264,946,586,880, is 2.
Now, the common factors can be found like this.
914:2x 457
264:2x 2x 2x 3x 11
946:2x 11x 43
586:2x 293
880:2x 2x 2x 2x 5x 11
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 11x 11 = 3872
Therefore, the value for common factors is 3872.
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 = 117712219130880/(2x3872)
LCM = 117712219130880/7744
LCM = 15200441520
Thus, we can understand that the LCM of 914,264,946,586,880 is 15200441520.
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FAQs on LCM of 914, 264, 946, 586, 880
1. What is the LCM of 914, 264, 946, 586, 880?
Answer: LCM of 914, 264, 946, 586, 880 is 15200441520.
2. How to calculate the LCM of 914, 264, 946, 586, 880?
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 914, 264, 946, 586, 880.
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}.