LCM of 850, 187, 472, 789, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 850, 187, 472, 789, 813 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, 187, 472, 789, 813. So, keep reading to learn more.
Given numbers are 850,187,472,789,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 850,187,472,789,813 is 471813005400.
Find LCM of 850,187,472,789,813 with Prime Factorization
| 2 | 850, 187, 472, 789, 813 |
| 3 | 425, 187, 236, 789, 813 |
| 17 | 425, 187, 236, 263, 271 |
| 25, 11, 236, 263, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 25 x 11 x 236 x 263 x 271 = 471813005400
Therefore, the lowest common multiple of 850,187,472,789,813 is 471813005400.
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 187 x 472 x 789 x 813 = 48124926550800
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
187 : 1, 11, 17, 187
472 : 1, 2, 4, 8, 59, 118, 236, 472
789 : 1, 3, 263, 789
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,187,472,789,813, is 1.
Now, the common factors can be found like this.
850:2x 5x 5x 17
187:11x 17
472:2x 2x 2x 59
789:3x 263
813:3x 271
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 17 = 102
Therefore, the value for common factors is 102.
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 = 48124926550800/(1x102)
LCM = 48124926550800/102
LCM = 471813005400
Thus, we can understand that the LCM of 850,187,472,789,813 is 471813005400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 850, 187, 472, 789, 813
1. What is the LCM of 850, 187, 472, 789, 813?
Answer: LCM of 850, 187, 472, 789, 813 is 471813005400.
2. How to calculate the LCM of 850, 187, 472, 789, 813?
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, 187, 472, 789, 813.
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}.