LCM of 850, 215, 975, 654, 143
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 850, 215, 975, 654, 143 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, 215, 975, 654, 143. So, keep reading to learn more.
Given numbers are 850,215,975,654,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 850,215,975,654,143 is 1709114550.
Find LCM of 850,215,975,654,143 with Prime Factorization
| 2 | 850, 215, 975, 654, 143 |
| 3 | 425, 215, 975, 327, 143 |
| 5 | 425, 215, 325, 109, 143 |
| 5 | 85, 43, 65, 109, 143 |
| 13 | 17, 43, 13, 109, 143 |
| 17, 43, 1, 109, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 13 x 17 x 43 x 1 x 109 x 11 = 1709114550
Therefore, the lowest common multiple of 850,215,975,654,143 is 1709114550.
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 215 x 975 x 654 x 143 = 16663866862500
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
215 : 1, 5, 43, 215
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
654 : 1, 2, 3, 6, 109, 218, 327, 654
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,215,975,654,143, is 1.
Now, the common factors can be found like this.
850:2x 5x 5x 17
215:5x 43
975:3x 5x 5x 13
654:2x 3x 109
143:11x 13
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 5x 5x 13 = 9750
Therefore, the value for common factors is 9750.
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 = 16663866862500/(1x9750)
LCM = 16663866862500/9750
LCM = 1709114550
Thus, we can understand that the LCM of 850,215,975,654,143 is 1709114550.
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FAQs on LCM of 850, 215, 975, 654, 143
1. What is the LCM of 850, 215, 975, 654, 143?
Answer: LCM of 850, 215, 975, 654, 143 is 1709114550.
2. How to calculate the LCM of 850, 215, 975, 654, 143?
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, 215, 975, 654, 143.
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}.