LCM of 627, 800, 162, 147, 156
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 800, 162, 147, 156 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 627, 800, 162, 147, 156. So, keep reading to learn more.
Given numbers are 627,800,162,147,156
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,800,162,147,156 is 8627018400.
Find LCM of 627,800,162,147,156 with Prime Factorization
| 2 | 627, 800, 162, 147, 156 |
| 2 | 627, 400, 81, 147, 78 |
| 3 | 627, 200, 81, 147, 39 |
| 209, 200, 27, 49, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 209 x 200 x 27 x 49 x 13 = 8627018400
Therefore, the lowest common multiple of 627,800,162,147,156 is 8627018400.
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.
627 x 800 x 162 x 147 x 156 = 1863435974400
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
147 : 1, 3, 7, 21, 49, 147
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,800,162,147,156, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
800:2x 2x 2x 2x 2x 5x 5
162:2x 3x 3x 3x 3
147:3x 7x 7
156:2x 2x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 1863435974400/(1x216)
LCM = 1863435974400/216
LCM = 8627018400
Thus, we can understand that the LCM of 627,800,162,147,156 is 8627018400.
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FAQs on LCM of 627, 800, 162, 147, 156
1. What is the LCM of 627, 800, 162, 147, 156?
Answer: LCM of 627, 800, 162, 147, 156 is 8627018400.
2. How to calculate the LCM of 627, 800, 162, 147, 156?
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 627, 800, 162, 147, 156.
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}.