LCM of 162, 144, 334, 543
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 162, 144, 334, 543 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 162, 144, 334, 543. So, keep reading to learn more.
Given numbers are 162,144,334,543
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 162,144,334,543 is 39174192.
Find LCM of 162,144,334,543 with Prime Factorization
| 2 | 162, 144, 334, 543 |
| 3 | 81, 72, 167, 543 |
| 3 | 27, 24, 167, 181 |
| 9, 8, 167, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 9 x 8 x 167 x 181 = 39174192
Therefore, the lowest common multiple of 162,144,334,543 is 39174192.
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.
162 x 144 x 334 x 543 = 4230812736
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.
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
334 : 1, 2, 167, 334
543 : 1, 3, 181, 543
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,144,334,543, is 1.
Now, the common factors can be found like this.
162:2x 3x 3x 3x 3
144:2x 2x 2x 2x 3x 3
334:2x 167
543:3x 181
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 3 = 108
Therefore, the value for common factors is 108.
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 = 4230812736/(1x108)
LCM = 4230812736/108
LCM = 39174192
Thus, we can understand that the LCM of 162,144,334,543 is 39174192.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 162, 144, 334, 543
1. What is the LCM of 162, 144, 334, 543?
Answer: LCM of 162, 144, 334, 543 is 39174192.
2. How to calculate the LCM of 162, 144, 334, 543?
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 162, 144, 334, 543.
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}.