LCM of 300, 141, 591, 743, 955
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 300, 141, 591, 743, 955 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 300, 141, 591, 743, 955. So, keep reading to learn more.
Given numbers are 300,141,591,743,955
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 300,141,591,743,955 is 394191740100.
Find LCM of 300,141,591,743,955 with Prime Factorization
| 3 | 300, 141, 591, 743, 955 |
| 5 | 100, 47, 197, 743, 955 |
| 20, 47, 197, 743, 191 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 20 x 47 x 197 x 743 x 191 = 394191740100
Therefore, the lowest common multiple of 300,141,591,743,955 is 394191740100.
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.
300 x 141 x 591 x 743 x 955 = 17738628304500
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.
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
141 : 1, 3, 47, 141
591 : 1, 3, 197, 591
743 : 1, 743
955 : 1, 5, 191, 955
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,141,591,743,955, is 1.
Now, the common factors can be found like this.
300:2x 2x 3x 5x 5
141:3x 47
591:3x 197
743:743
955:5x 191
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5 = 45
Therefore, the value for common factors is 45.
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 = 17738628304500/(1x45)
LCM = 17738628304500/45
LCM = 394191740100
Thus, we can understand that the LCM of 300,141,591,743,955 is 394191740100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 300, 141, 591, 743, 955
1. What is the LCM of 300, 141, 591, 743, 955?
Answer: LCM of 300, 141, 591, 743, 955 is 394191740100.
2. How to calculate the LCM of 300, 141, 591, 743, 955?
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 300, 141, 591, 743, 955.
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}.