LCM of 889, 497, 748, 568, 217
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 889, 497, 748, 568, 217 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, 497, 748, 568, 217. So, keep reading to learn more.
Given numbers are 889,497,748,568,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,497,748,568,217 is 2927206744.
Find LCM of 889,497,748,568,217 with Prime Factorization
| 2 | 889, 497, 748, 568, 217 |
| 2 | 889, 497, 374, 284, 217 |
| 7 | 889, 497, 187, 142, 217 |
| 71 | 127, 71, 187, 142, 31 |
| 127, 1, 187, 2, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 71 x 127 x 1 x 187 x 2 x 31 = 2927206744
Therefore, the lowest common multiple of 889,497,748,568,217 is 2927206744.
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 497 x 748 x 568 x 217 = 40735009049504
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
497 : 1, 7, 71, 497
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
568 : 1, 2, 4, 8, 71, 142, 284, 568
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,497,748,568,217, is 1.
Now, the common factors can be found like this.
889:7x 127
497:7x 71
748:2x 2x 11x 17
568:2x 2x 2x 71
217:7x 31
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 7x 7x 71 = 13916
Therefore, the value for common factors is 13916.
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 = 40735009049504/(1x13916)
LCM = 40735009049504/13916
LCM = 2927206744
Thus, we can understand that the LCM of 889,497,748,568,217 is 2927206744.
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FAQs on LCM of 889, 497, 748, 568, 217
1. What is the LCM of 889, 497, 748, 568, 217?
Answer: LCM of 889, 497, 748, 568, 217 is 2927206744.
2. How to calculate the LCM of 889, 497, 748, 568, 217?
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, 497, 748, 568, 217.
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}.