LCM of 893, 345, 341, 208, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 345, 341, 208, 805 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 893, 345, 341, 208, 805. So, keep reading to learn more.
Given numbers are 893,345,341,208,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,345,341,208,805 is 152962970160.
Find LCM of 893,345,341,208,805 with Prime Factorization
| 5 | 893, 345, 341, 208, 805 |
| 23 | 893, 69, 341, 208, 161 |
| 893, 3, 341, 208, 7 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 893 x 3 x 341 x 208 x 7 = 152962970160
Therefore, the lowest common multiple of 893,345,341,208,805 is 152962970160.
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.
893 x 345 x 341 x 208 x 805 = 17590741568400
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.
893 : 1, 19, 47, 893
345 : 1, 3, 5, 15, 23, 69, 115, 345
341 : 1, 11, 31, 341
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,345,341,208,805, is 1.
Now, the common factors can be found like this.
893:19x 47
345:3x 5x 23
341:11x 31
208:2x 2x 2x 2x 13
805:5x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 23 = 115
Therefore, the value for common factors is 115.
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 = 17590741568400/(1x115)
LCM = 17590741568400/115
LCM = 152962970160
Thus, we can understand that the LCM of 893,345,341,208,805 is 152962970160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 893, 345, 341, 208, 805
1. What is the LCM of 893, 345, 341, 208, 805?
Answer: LCM of 893, 345, 341, 208, 805 is 152962970160.
2. How to calculate the LCM of 893, 345, 341, 208, 805?
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 893, 345, 341, 208, 805.
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}.