LCM of 367, 880, 743, 540, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 367, 880, 743, 540, 682 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 367, 880, 743, 540, 682. So, keep reading to learn more.
Given numbers are 367,880,743,540,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,880,743,540,682 is 200845917360.
Find LCM of 367,880,743,540,682 with Prime Factorization
| 2 | 367, 880, 743, 540, 682 |
| 2 | 367, 440, 743, 270, 341 |
| 5 | 367, 220, 743, 135, 341 |
| 11 | 367, 44, 743, 27, 341 |
| 367, 4, 743, 27, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 367 x 4 x 743 x 27 x 31 = 200845917360
Therefore, the lowest common multiple of 367,880,743,540,682 is 200845917360.
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.
367 x 880 x 743 x 540 x 682 = 88372203638400
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.
367 : 1, 367
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
743 : 1, 743
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,880,743,540,682, is 1.
Now, the common factors can be found like this.
367:367
880:2x 2x 2x 2x 5x 11
743:743
540:2x 2x 3x 3x 3x 5
682:2x 11x 31
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 5x 11 = 440
Therefore, the value for common factors is 440.
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 = 88372203638400/(1x440)
LCM = 88372203638400/440
LCM = 200845917360
Thus, we can understand that the LCM of 367,880,743,540,682 is 200845917360.
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FAQs on LCM of 367, 880, 743, 540, 682
1. What is the LCM of 367, 880, 743, 540, 682?
Answer: LCM of 367, 880, 743, 540, 682 is 200845917360.
2. How to calculate the LCM of 367, 880, 743, 540, 682?
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 367, 880, 743, 540, 682.
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}.