LCM of 380, 414, 740, 857
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 414, 740, 857 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, 414, 740, 857. So, keep reading to learn more.
Given numbers are 380,414,740,857
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,414,740,857 is 2494229940.
Find LCM of 380,414,740,857 with Prime Factorization
| 2 | 380, 414, 740, 857 |
| 2 | 190, 207, 370, 857 |
| 5 | 95, 207, 185, 857 |
| 19, 207, 37, 857 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 207 x 37 x 857 = 2494229940
Therefore, the lowest common multiple of 380,414,740,857 is 2494229940.
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 414 x 740 x 857 = 99769197600
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
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
857 : 1, 857
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,414,740,857, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
414:2x 3x 3x 23
740:2x 2x 5x 37
857:857
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 5 = 40
Therefore, the value for common factors is 40.
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 = 99769197600/(1x40)
LCM = 99769197600/40
LCM = 2494229940
Thus, we can understand that the LCM of 380,414,740,857 is 2494229940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 380, 414, 740, 857
1. What is the LCM of 380, 414, 740, 857?
Answer: LCM of 380, 414, 740, 857 is 2494229940.
2. How to calculate the LCM of 380, 414, 740, 857?
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, 414, 740, 857.
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}.