LCM of 861, 517, 475, 900, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 517, 475, 900, 329 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 861, 517, 475, 900, 329. So, keep reading to learn more.
Given numbers are 861,517,475,900,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,517,475,900,329 is 2537280900.
Find LCM of 861,517,475,900,329 with Prime Factorization
| 3 | 861, 517, 475, 900, 329 |
| 5 | 287, 517, 475, 300, 329 |
| 5 | 287, 517, 95, 60, 329 |
| 7 | 287, 517, 19, 12, 329 |
| 47 | 41, 517, 19, 12, 47 |
| 41, 11, 19, 12, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 7 x 47 x 41 x 11 x 19 x 12 x 1 = 2537280900
Therefore, the lowest common multiple of 861,517,475,900,329 is 2537280900.
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.
861 x 517 x 475 x 900 x 329 = 62607406207500
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
517 : 1, 11, 47, 517
475 : 1, 5, 19, 25, 95, 475
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,517,475,900,329, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
517:11x 47
475:5x 5x 19
900:2x 2x 3x 3x 5x 5
329:7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 7x 47 = 24675
Therefore, the value for common factors is 24675.
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 = 62607406207500/(1x24675)
LCM = 62607406207500/24675
LCM = 2537280900
Thus, we can understand that the LCM of 861,517,475,900,329 is 2537280900.
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FAQs on LCM of 861, 517, 475, 900, 329
1. What is the LCM of 861, 517, 475, 900, 329?
Answer: LCM of 861, 517, 475, 900, 329 is 2537280900.
2. How to calculate the LCM of 861, 517, 475, 900, 329?
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 861, 517, 475, 900, 329.
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}.