LCM of 379, 153, 812, 261
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 153, 812, 261 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, 153, 812, 261. So, keep reading to learn more.
Given numbers are 379,153,812,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,153,812,261 is 47085444.
Find LCM of 379,153,812,261 with Prime Factorization
| 3 | 379, 153, 812, 261 |
| 3 | 379, 51, 812, 87 |
| 29 | 379, 17, 812, 29 |
| 379, 17, 28, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 29 x 379 x 17 x 28 x 1 = 47085444
Therefore, the lowest common multiple of 379,153,812,261 is 47085444.
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 153 x 812 x 261 = 12289300884
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
153 : 1, 3, 9, 17, 51, 153
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,153,812,261, is 1.
Now, the common factors can be found like this.
379:379
153:3x 3x 17
812:2x 2x 7x 29
261:3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 29 = 261
Therefore, the value for common factors is 261.
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 = 12289300884/(1x261)
LCM = 12289300884/261
LCM = 47085444
Thus, we can understand that the LCM of 379,153,812,261 is 47085444.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 379, 153, 812, 261
1. What is the LCM of 379, 153, 812, 261?
Answer: LCM of 379, 153, 812, 261 is 47085444.
2. How to calculate the LCM of 379, 153, 812, 261?
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, 153, 812, 261.
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}.