LCM of 850, 329, 821, 990, 141
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 850, 329, 821, 990, 141 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 850, 329, 821, 990, 141. So, keep reading to learn more.
Given numbers are 850,329,821,990,141
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 850,329,821,990,141 is 22729672350.
Find LCM of 850,329,821,990,141 with Prime Factorization
| 2 | 850, 329, 821, 990, 141 |
| 3 | 425, 329, 821, 495, 141 |
| 5 | 425, 329, 821, 165, 47 |
| 47 | 85, 329, 821, 33, 47 |
| 85, 7, 821, 33, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 47 x 85 x 7 x 821 x 33 x 1 = 22729672350
Therefore, the lowest common multiple of 850,329,821,990,141 is 22729672350.
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.
850 x 329 x 821 x 990 x 141 = 32048838013500
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.
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
329 : 1, 7, 47, 329
821 : 1, 821
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
141 : 1, 3, 47, 141
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,329,821,990,141, is 1.
Now, the common factors can be found like this.
850:2x 5x 5x 17
329:7x 47
821:821
990:2x 3x 3x 5x 11
141:3x 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 5x 47 = 1410
Therefore, the value for common factors is 1410.
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 = 32048838013500/(1x1410)
LCM = 32048838013500/1410
LCM = 22729672350
Thus, we can understand that the LCM of 850,329,821,990,141 is 22729672350.
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FAQs on LCM of 850, 329, 821, 990, 141
1. What is the LCM of 850, 329, 821, 990, 141?
Answer: LCM of 850, 329, 821, 990, 141 is 22729672350.
2. How to calculate the LCM of 850, 329, 821, 990, 141?
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 850, 329, 821, 990, 141.
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}.