LCM of 380, 299, 286, 871, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 299, 286, 871, 279 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 380, 299, 286, 871, 279. So, keep reading to learn more.
Given numbers are 380,299,286,871,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,299,286,871,279 is 23362885260.
Find LCM of 380,299,286,871,279 with Prime Factorization
| 2 | 380, 299, 286, 871, 279 |
| 13 | 190, 299, 143, 871, 279 |
| 190, 23, 11, 67, 279 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 190 x 23 x 11 x 67 x 279 = 23362885260
Therefore, the lowest common multiple of 380,299,286,871,279 is 23362885260.
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.
380 x 299 x 286 x 871 x 279 = 7896655217880
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
299 : 1, 13, 23, 299
286 : 1, 2, 11, 13, 22, 26, 143, 286
871 : 1, 13, 67, 871
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,299,286,871,279, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
299:13x 23
286:2x 11x 13
871:13x 67
279:3x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 7896655217880/(1x338)
LCM = 7896655217880/338
LCM = 23362885260
Thus, we can understand that the LCM of 380,299,286,871,279 is 23362885260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 380, 299, 286, 871, 279
1. What is the LCM of 380, 299, 286, 871, 279?
Answer: LCM of 380, 299, 286, 871, 279 is 23362885260.
2. How to calculate the LCM of 380, 299, 286, 871, 279?
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 380, 299, 286, 871, 279.
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}.