LCM of 380, 424, 914, 460, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 424, 914, 460, 686 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, 424, 914, 460, 686. So, keep reading to learn more.
Given numbers are 380,424,914,460,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,424,914,460,686 is 145220396440.
Find LCM of 380,424,914,460,686 with Prime Factorization
| 2 | 380, 424, 914, 460, 686 |
| 2 | 190, 212, 457, 230, 343 |
| 5 | 95, 106, 457, 115, 343 |
| 19, 106, 457, 23, 343 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 106 x 457 x 23 x 343 = 145220396440
Therefore, the lowest common multiple of 380,424,914,460,686 is 145220396440.
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 424 x 914 x 460 x 686 = 46470526860800
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
424 : 1, 2, 4, 8, 53, 106, 212, 424
914 : 1, 2, 457, 914
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
686 : 1, 2, 7, 14, 49, 98, 343, 686
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,424,914,460,686, is 2.
Now, the common factors can be found like this.
380:2x 2x 5x 19
424:2x 2x 2x 53
914:2x 457
460:2x 2x 5x 23
686:2x 7x 7x 7
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 2x 2x 5 = 160
Therefore, the value for common factors is 160.
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 = 46470526860800/(2x160)
LCM = 46470526860800/320
LCM = 145220396440
Thus, we can understand that the LCM of 380,424,914,460,686 is 145220396440.
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FAQs on LCM of 380, 424, 914, 460, 686
1. What is the LCM of 380, 424, 914, 460, 686?
Answer: LCM of 380, 424, 914, 460, 686 is 145220396440.
2. How to calculate the LCM of 380, 424, 914, 460, 686?
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, 424, 914, 460, 686.
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}.