LCM of 111, 958, 620, 615, 505
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 111, 958, 620, 615, 505 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 111, 958, 620, 615, 505. So, keep reading to learn more.
Given numbers are 111,958,620,615,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 111,958,620,615,505 is 136507153980.
Find LCM of 111,958,620,615,505 with Prime Factorization
| 2 | 111, 958, 620, 615, 505 |
| 3 | 111, 479, 310, 615, 505 |
| 5 | 37, 479, 310, 205, 505 |
| 37, 479, 62, 41, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 37 x 479 x 62 x 41 x 101 = 136507153980
Therefore, the lowest common multiple of 111,958,620,615,505 is 136507153980.
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.
111 x 958 x 620 x 615 x 505 = 20476073097000
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.
111 : 1, 3, 37, 111
958 : 1, 2, 479, 958
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
615 : 1, 3, 5, 15, 41, 123, 205, 615
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,958,620,615,505, is 1.
Now, the common factors can be found like this.
111:3x 37
958:2x 479
620:2x 2x 5x 31
615:3x 5x 41
505:5x 101
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 5 = 150
Therefore, the value for common factors is 150.
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 = 20476073097000/(1x150)
LCM = 20476073097000/150
LCM = 136507153980
Thus, we can understand that the LCM of 111,958,620,615,505 is 136507153980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 111, 958, 620, 615, 505
1. What is the LCM of 111, 958, 620, 615, 505?
Answer: LCM of 111, 958, 620, 615, 505 is 136507153980.
2. How to calculate the LCM of 111, 958, 620, 615, 505?
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 111, 958, 620, 615, 505.
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}.