LCM of 782, 734, 687, 805, 367
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 734, 687, 805, 367 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 782, 734, 687, 805, 367. So, keep reading to learn more.
Given numbers are 782,734,687,805,367
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,734,687,805,367 is 6900770730.
Find LCM of 782,734,687,805,367 with Prime Factorization
| 2 | 782, 734, 687, 805, 367 |
| 23 | 391, 367, 687, 805, 367 |
| 367 | 17, 367, 687, 35, 367 |
| 17, 1, 687, 35, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 367 x 17 x 1 x 687 x 35 x 1 = 6900770730
Therefore, the lowest common multiple of 782,734,687,805,367 is 6900770730.
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.
782 x 734 x 687 x 805 x 367 = 116498811463860
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
734 : 1, 2, 367, 734
687 : 1, 3, 229, 687
805 : 1, 5, 7, 23, 35, 115, 161, 805
367 : 1, 367
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,734,687,805,367, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
734:2x 367
687:3x 229
805:5x 7x 23
367:367
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23x 367 = 16882
Therefore, the value for common factors is 16882.
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 = 116498811463860/(1x16882)
LCM = 116498811463860/16882
LCM = 6900770730
Thus, we can understand that the LCM of 782,734,687,805,367 is 6900770730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 782, 734, 687, 805, 367
1. What is the LCM of 782, 734, 687, 805, 367?
Answer: LCM of 782, 734, 687, 805, 367 is 6900770730.
2. How to calculate the LCM of 782, 734, 687, 805, 367?
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 782, 734, 687, 805, 367.
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}.