LCM of 731, 886, 360, 344
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 886, 360, 344 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 731, 886, 360, 344. So, keep reading to learn more.
Given numbers are 731,886,360,344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,886,360,344 is 116579880.
Find LCM of 731,886,360,344 with Prime Factorization
| 2 | 731, 886, 360, 344 |
| 2 | 731, 443, 180, 172 |
| 2 | 731, 443, 90, 86 |
| 43 | 731, 443, 45, 43 |
| 17, 443, 45, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 43 x 17 x 443 x 45 x 1 = 116579880
Therefore, the lowest common multiple of 731,886,360,344 is 116579880.
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.
731 x 886 x 360 x 344 = 80206957440
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.
731 : 1, 17, 43, 731
886 : 1, 2, 443, 886
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
344 : 1, 2, 4, 8, 43, 86, 172, 344
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,886,360,344, is 1.
Now, the common factors can be found like this.
731:17x 43
886:2x 443
360:2x 2x 2x 3x 3x 5
344:2x 2x 2x 43
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 43 = 688
Therefore, the value for common factors is 688.
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 = 80206957440/(1x688)
LCM = 80206957440/688
LCM = 116579880
Thus, we can understand that the LCM of 731,886,360,344 is 116579880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 731, 886, 360, 344
1. What is the LCM of 731, 886, 360, 344?
Answer: LCM of 731, 886, 360, 344 is 116579880.
2. How to calculate the LCM of 731, 886, 360, 344?
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 731, 886, 360, 344.
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}.