LCM of 437, 414, 805, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 414, 805, 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 437, 414, 805, 686. So, keep reading to learn more.
Given numbers are 437,414,805,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,414,805,686 is 13490190.
Find LCM of 437,414,805,686 with Prime Factorization
| 2 | 437, 414, 805, 686 |
| 7 | 437, 207, 805, 343 |
| 23 | 437, 207, 115, 49 |
| 19, 9, 5, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 19 x 9 x 5 x 49 = 13490190
Therefore, the lowest common multiple of 437,414,805,686 is 13490190.
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.
437 x 414 x 805 x 686 = 99908347140
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.
437 : 1, 19, 23, 437
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
805 : 1, 5, 7, 23, 35, 115, 161, 805
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,414,805,686, is 1.
Now, the common factors can be found like this.
437:19x 23
414:2x 3x 3x 23
805:5x 7x 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 7x 23x 23 = 7406
Therefore, the value for common factors is 7406.
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 = 99908347140/(1x7406)
LCM = 99908347140/7406
LCM = 13490190
Thus, we can understand that the LCM of 437,414,805,686 is 13490190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 437, 414, 805, 686
1. What is the LCM of 437, 414, 805, 686?
Answer: LCM of 437, 414, 805, 686 is 13490190.
2. How to calculate the LCM of 437, 414, 805, 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 437, 414, 805, 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}.