LCM of 144, 132, 168, 856
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 132, 168, 856 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 144, 132, 168, 856. So, keep reading to learn more.
Given numbers are 144,132,168,856
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,132,168,856 is 1186416.
Find LCM of 144,132,168,856 with Prime Factorization
| 2 | 144, 132, 168, 856 |
| 2 | 72, 66, 84, 428 |
| 2 | 36, 33, 42, 214 |
| 3 | 18, 33, 21, 107 |
| 6, 11, 7, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 6 x 11 x 7 x 107 = 1186416
Therefore, the lowest common multiple of 144,132,168,856 is 1186416.
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.
144 x 132 x 168 x 856 = 2733502464
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
856 : 1, 2, 4, 8, 107, 214, 428, 856
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,132,168,856, is 4.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
132:2x 2x 3x 11
168:2x 2x 2x 3x 7
856:2x 2x 2x 107
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 2x 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 2733502464/(4x576)
LCM = 2733502464/2304
LCM = 1186416
Thus, we can understand that the LCM of 144,132,168,856 is 1186416.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 144, 132, 168, 856
1. What is the LCM of 144, 132, 168, 856?
Answer: LCM of 144, 132, 168, 856 is 1186416.
2. How to calculate the LCM of 144, 132, 168, 856?
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 144, 132, 168, 856.
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}.