LCM of 379, 456, 162, 747, 141
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 456, 162, 747, 141 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 379, 456, 162, 747, 141. So, keep reading to learn more.
Given numbers are 379,456,162,747,141
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,456,162,747,141 is 18203033448.
Find LCM of 379,456,162,747,141 with Prime Factorization
| 2 | 379, 456, 162, 747, 141 |
| 3 | 379, 228, 81, 747, 141 |
| 3 | 379, 76, 27, 249, 47 |
| 379, 76, 9, 83, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 379 x 76 x 9 x 83 x 47 = 18203033448
Therefore, the lowest common multiple of 379,456,162,747,141 is 18203033448.
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.
379 x 456 x 162 x 747 x 141 = 2948891418576
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.
379 : 1, 379
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
747 : 1, 3, 9, 83, 249, 747
141 : 1, 3, 47, 141
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,456,162,747,141, is 1.
Now, the common factors can be found like this.
379:379
456:2x 2x 2x 3x 19
162:2x 3x 3x 3x 3
747:3x 3x 83
141:3x 47
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 3 = 162
Therefore, the value for common factors is 162.
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 = 2948891418576/(1x162)
LCM = 2948891418576/162
LCM = 18203033448
Thus, we can understand that the LCM of 379,456,162,747,141 is 18203033448.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 379, 456, 162, 747, 141
1. What is the LCM of 379, 456, 162, 747, 141?
Answer: LCM of 379, 456, 162, 747, 141 is 18203033448.
2. How to calculate the LCM of 379, 456, 162, 747, 141?
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 379, 456, 162, 747, 141.
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}.