LCM of 5, 159, 450, 158
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 5, 159, 450, 158 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 5, 159, 450, 158. So, keep reading to learn more.
Given numbers are 5,159,450,158
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5,159,450,158 is 1884150.
Find LCM of 5,159,450,158 with Prime Factorization
| 2 | 5, 159, 450, 158 |
| 3 | 5, 159, 225, 79 |
| 5 | 5, 53, 75, 79 |
| 1, 53, 15, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 1 x 53 x 15 x 79 = 1884150
Therefore, the lowest common multiple of 5,159,450,158 is 1884150.
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.
5 x 159 x 450 x 158 = 56524500
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.
5 : 1, 5
159 : 1, 3, 53, 159
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
158 : 1, 2, 79, 158
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5,159,450,158, is 1.
Now, the common factors can be found like this.
5:5
159:3x 53
450:2x 3x 3x 5x 5
158:2x 79
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 5 = 30
Therefore, the value for common factors is 30.
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 = 56524500/(1x30)
LCM = 56524500/30
LCM = 1884150
Thus, we can understand that the LCM of 5,159,450,158 is 1884150.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 5, 159, 450, 158
1. What is the LCM of 5, 159, 450, 158?
Answer: LCM of 5, 159, 450, 158 is 1884150.
2. How to calculate the LCM of 5, 159, 450, 158?
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 5, 159, 450, 158.
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}.