LCM of 144, 819, 942, 119
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 819, 942, 119 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, 819, 942, 119. So, keep reading to learn more.
Given numbers are 144,819,942,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,819,942,119 is 34974576.
Find LCM of 144,819,942,119 with Prime Factorization
| 2 | 144, 819, 942, 119 |
| 3 | 72, 819, 471, 119 |
| 3 | 24, 273, 157, 119 |
| 7 | 8, 91, 157, 119 |
| 8, 13, 157, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 8 x 13 x 157 x 17 = 34974576
Therefore, the lowest common multiple of 144,819,942,119 is 34974576.
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 819 x 942 x 119 = 13220389728
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
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
942 : 1, 2, 3, 6, 157, 314, 471, 942
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,819,942,119, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
819:3x 3x 7x 13
942:2x 3x 157
119:7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7 = 378
Therefore, the value for common factors is 378.
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 = 13220389728/(1x378)
LCM = 13220389728/378
LCM = 34974576
Thus, we can understand that the LCM of 144,819,942,119 is 34974576.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 144, 819, 942, 119
1. What is the LCM of 144, 819, 942, 119?
Answer: LCM of 144, 819, 942, 119 is 34974576.
2. How to calculate the LCM of 144, 819, 942, 119?
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, 819, 942, 119.
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}.