LCM of 861, 123, 958, 847, 820
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 123, 958, 847, 820 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, 123, 958, 847, 820. So, keep reading to learn more.
Given numbers are 861,123,958,847,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,123,958,847,820 is 998053980.
Find LCM of 861,123,958,847,820 with Prime Factorization
| 2 | 861, 123, 958, 847, 820 |
| 3 | 861, 123, 479, 847, 410 |
| 7 | 287, 41, 479, 847, 410 |
| 41 | 41, 41, 479, 121, 410 |
| 1, 1, 479, 121, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 41 x 1 x 1 x 479 x 121 x 10 = 998053980
Therefore, the lowest common multiple of 861,123,958,847,820 is 998053980.
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 123 x 958 x 847 x 820 = 70464607095960
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
123 : 1, 3, 41, 123
958 : 1, 2, 479, 958
847 : 1, 7, 11, 77, 121, 847
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,123,958,847,820, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
123:3x 41
958:2x 479
847:7x 11x 11
820:2x 2x 5x 41
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 7x 41x 41 = 70602
Therefore, the value for common factors is 70602.
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 = 70464607095960/(1x70602)
LCM = 70464607095960/70602
LCM = 998053980
Thus, we can understand that the LCM of 861,123,958,847,820 is 998053980.
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FAQs on LCM of 861, 123, 958, 847, 820
1. What is the LCM of 861, 123, 958, 847, 820?
Answer: LCM of 861, 123, 958, 847, 820 is 998053980.
2. How to calculate the LCM of 861, 123, 958, 847, 820?
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, 123, 958, 847, 820.
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}.