LCM of 889, 589, 310, 576, 423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 889, 589, 310, 576, 423 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, 589, 310, 576, 423. So, keep reading to learn more.
Given numbers are 889,589,310,576,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,589,310,576,423 is 70877338560.
Find LCM of 889,589,310,576,423 with Prime Factorization
| 2 | 889, 589, 310, 576, 423 |
| 3 | 889, 589, 155, 288, 423 |
| 3 | 889, 589, 155, 96, 141 |
| 31 | 889, 589, 155, 32, 47 |
| 889, 19, 5, 32, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 31 x 889 x 19 x 5 x 32 x 47 = 70877338560
Therefore, the lowest common multiple of 889,589,310,576,423 is 70877338560.
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 589 x 310 x 576 x 423 = 39549554916480
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
589 : 1, 19, 31, 589
310 : 1, 2, 5, 10, 31, 62, 155, 310
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
423 : 1, 3, 9, 47, 141, 423
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,589,310,576,423, is 1.
Now, the common factors can be found like this.
889:7x 127
589:19x 31
310:2x 5x 31
576:2x 2x 2x 2x 2x 2x 3x 3
423:3x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 31 = 558
Therefore, the value for common factors is 558.
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 = 39549554916480/(1x558)
LCM = 39549554916480/558
LCM = 70877338560
Thus, we can understand that the LCM of 889,589,310,576,423 is 70877338560.
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FAQs on LCM of 889, 589, 310, 576, 423
1. What is the LCM of 889, 589, 310, 576, 423?
Answer: LCM of 889, 589, 310, 576, 423 is 70877338560.
2. How to calculate the LCM of 889, 589, 310, 576, 423?
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, 589, 310, 576, 423.
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}.