LCM of 187, 161, 506, 416, 176
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 161, 506, 416, 176 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 187, 161, 506, 416, 176. So, keep reading to learn more.
Given numbers are 187,161,506,416,176
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,161,506,416,176 is 12524512.
Find LCM of 187,161,506,416,176 with Prime Factorization
| 2 | 187, 161, 506, 416, 176 |
| 2 | 187, 161, 253, 208, 88 |
| 2 | 187, 161, 253, 104, 44 |
| 2 | 187, 161, 253, 52, 22 |
| 11 | 187, 161, 253, 26, 11 |
| 23 | 17, 161, 23, 26, 1 |
| 17, 7, 1, 26, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 23 x 17 x 7 x 1 x 26 x 1 = 12524512
Therefore, the lowest common multiple of 187,161,506,416,176 is 12524512.
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.
187 x 161 x 506 x 416 x 176 = 1115382940672
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.
187 : 1, 11, 17, 187
161 : 1, 7, 23, 161
506 : 1, 2, 11, 22, 23, 46, 253, 506
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,161,506,416,176, is 1.
Now, the common factors can be found like this.
187:11x 17
161:7x 23
506:2x 11x 23
416:2x 2x 2x 2x 2x 13
176:2x 2x 2x 2x 11
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 2x 2x 11x 11x 23 = 89056
Therefore, the value for common factors is 89056.
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 = 1115382940672/(1x89056)
LCM = 1115382940672/89056
LCM = 12524512
Thus, we can understand that the LCM of 187,161,506,416,176 is 12524512.
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FAQs on LCM of 187, 161, 506, 416, 176
1. What is the LCM of 187, 161, 506, 416, 176?
Answer: LCM of 187, 161, 506, 416, 176 is 12524512.
2. How to calculate the LCM of 187, 161, 506, 416, 176?
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 187, 161, 506, 416, 176.
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}.