LCM of 889, 884, 946, 440, 860
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 889, 884, 946, 440, 860 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 889, 884, 946, 440, 860. So, keep reading to learn more.
Given numbers are 889,884,946,440,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,884,946,440,860 is 3717193480.
Find LCM of 889,884,946,440,860 with Prime Factorization
| 2 | 889, 884, 946, 440, 860 |
| 2 | 889, 442, 473, 220, 430 |
| 5 | 889, 221, 473, 110, 215 |
| 11 | 889, 221, 473, 22, 43 |
| 43 | 889, 221, 43, 2, 43 |
| 889, 221, 1, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 43 x 889 x 221 x 1 x 2 x 1 = 3717193480
Therefore, the lowest common multiple of 889,884,946,440,860 is 3717193480.
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.
889 x 884 x 946 x 440 x 860 = 281317202566400
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.
889 : 1, 7, 127, 889
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
946 : 1, 2, 11, 22, 43, 86, 473, 946
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,884,946,440,860, is 1.
Now, the common factors can be found like this.
889:7x 127
884:2x 2x 13x 17
946:2x 11x 43
440:2x 2x 2x 5x 11
860:2x 2x 5x 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 2x 5x 11x 43 = 75680
Therefore, the value for common factors is 75680.
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 = 281317202566400/(1x75680)
LCM = 281317202566400/75680
LCM = 3717193480
Thus, we can understand that the LCM of 889,884,946,440,860 is 3717193480.
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FAQs on LCM of 889, 884, 946, 440, 860
1. What is the LCM of 889, 884, 946, 440, 860?
Answer: LCM of 889, 884, 946, 440, 860 is 3717193480.
2. How to calculate the LCM of 889, 884, 946, 440, 860?
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 889, 884, 946, 440, 860.
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}.