LCM of 860, 308, 893, 766, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 860, 308, 893, 766, 231 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 860, 308, 893, 766, 231. So, keep reading to learn more.
Given numbers are 860,308,893,766,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 860,308,893,766,231 is 67945494540.
Find LCM of 860,308,893,766,231 with Prime Factorization
| 2 | 860, 308, 893, 766, 231 |
| 2 | 430, 154, 893, 383, 231 |
| 7 | 215, 77, 893, 383, 231 |
| 11 | 215, 11, 893, 383, 33 |
| 215, 1, 893, 383, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 215 x 1 x 893 x 383 x 3 = 67945494540
Therefore, the lowest common multiple of 860,308,893,766,231 is 67945494540.
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.
860 x 308 x 893 x 766 x 231 = 41854424636640
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.
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
893 : 1, 19, 47, 893
766 : 1, 2, 383, 766
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,308,893,766,231, is 1.
Now, the common factors can be found like this.
860:2x 2x 5x 43
308:2x 2x 7x 11
893:19x 47
766:2x 383
231:3x 7x 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 7x 11 = 616
Therefore, the value for common factors is 616.
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 = 41854424636640/(1x616)
LCM = 41854424636640/616
LCM = 67945494540
Thus, we can understand that the LCM of 860,308,893,766,231 is 67945494540.
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FAQs on LCM of 860, 308, 893, 766, 231
1. What is the LCM of 860, 308, 893, 766, 231?
Answer: LCM of 860, 308, 893, 766, 231 is 67945494540.
2. How to calculate the LCM of 860, 308, 893, 766, 231?
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 860, 308, 893, 766, 231.
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}.