LCM of 288, 154, 186, 987, 167
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 288, 154, 186, 987, 167 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 288, 154, 186, 987, 167. So, keep reading to learn more.
Given numbers are 288,154,186,987,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,154,186,987,167 is 5395842144.
Find LCM of 288,154,186,987,167 with Prime Factorization
| 2 | 288, 154, 186, 987, 167 |
| 3 | 144, 77, 93, 987, 167 |
| 7 | 48, 77, 31, 329, 167 |
| 48, 11, 31, 47, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 48 x 11 x 31 x 47 x 167 = 5395842144
Therefore, the lowest common multiple of 288,154,186,987,167 is 5395842144.
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.
288 x 154 x 186 x 987 x 167 = 1359752220288
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.
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
154 : 1, 2, 7, 11, 14, 22, 77, 154
186 : 1, 2, 3, 6, 31, 62, 93, 186
987 : 1, 3, 7, 21, 47, 141, 329, 987
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,154,186,987,167, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
154:2x 7x 11
186:2x 3x 31
987:3x 7x 47
167:167
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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 1359752220288/(1x252)
LCM = 1359752220288/252
LCM = 5395842144
Thus, we can understand that the LCM of 288,154,186,987,167 is 5395842144.
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FAQs on LCM of 288, 154, 186, 987, 167
1. What is the LCM of 288, 154, 186, 987, 167?
Answer: LCM of 288, 154, 186, 987, 167 is 5395842144.
2. How to calculate the LCM of 288, 154, 186, 987, 167?
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 288, 154, 186, 987, 167.
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}.