LCM of 355, 847, 945, 959, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 355, 847, 945, 959, 989 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 355, 847, 945, 959, 989. So, keep reading to learn more.
Given numbers are 355,847,945,959,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,847,945,959,989 is 1099999243035.
Find LCM of 355,847,945,959,989 with Prime Factorization
| 5 | 355, 847, 945, 959, 989 |
| 7 | 71, 847, 189, 959, 989 |
| 71, 121, 27, 137, 989 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 71 x 121 x 27 x 137 x 989 = 1099999243035
Therefore, the lowest common multiple of 355,847,945,959,989 is 1099999243035.
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.
355 x 847 x 945 x 959 x 989 = 269499814543575
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.
355 : 1, 5, 71, 355
847 : 1, 7, 11, 77, 121, 847
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
959 : 1, 7, 137, 959
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,847,945,959,989, is 1.
Now, the common factors can be found like this.
355:5x 71
847:7x 11x 11
945:3x 3x 3x 5x 7
959:7x 137
989:23x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 7 = 245
Therefore, the value for common factors is 245.
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 = 269499814543575/(1x245)
LCM = 269499814543575/245
LCM = 1099999243035
Thus, we can understand that the LCM of 355,847,945,959,989 is 1099999243035.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 355, 847, 945, 959, 989
1. What is the LCM of 355, 847, 945, 959, 989?
Answer: LCM of 355, 847, 945, 959, 989 is 1099999243035.
2. How to calculate the LCM of 355, 847, 945, 959, 989?
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 355, 847, 945, 959, 989.
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}.