LCM of 769, 243, 340, 282, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 769, 243, 340, 282, 260 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 769, 243, 340, 282, 260. So, keep reading to learn more.
Given numbers are 769,243,340,282,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,243,340,282,260 is 38819750580.
Find LCM of 769,243,340,282,260 with Prime Factorization
| 2 | 769, 243, 340, 282, 260 |
| 2 | 769, 243, 170, 141, 130 |
| 3 | 769, 243, 85, 141, 65 |
| 5 | 769, 81, 85, 47, 65 |
| 769, 81, 17, 47, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 769 x 81 x 17 x 47 x 13 = 38819750580
Therefore, the lowest common multiple of 769,243,340,282,260 is 38819750580.
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.
769 x 243 x 340 x 282 x 260 = 4658370069600
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.
769 : 1, 769
243 : 1, 3, 9, 27, 81, 243
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
282 : 1, 2, 3, 6, 47, 94, 141, 282
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,243,340,282,260, is 1.
Now, the common factors can be found like this.
769:769
243:3x 3x 3x 3x 3
340:2x 2x 5x 17
282:2x 3x 47
260:2x 2x 5x 13
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 4658370069600/(1x120)
LCM = 4658370069600/120
LCM = 38819750580
Thus, we can understand that the LCM of 769,243,340,282,260 is 38819750580.
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FAQs on LCM of 769, 243, 340, 282, 260
1. What is the LCM of 769, 243, 340, 282, 260?
Answer: LCM of 769, 243, 340, 282, 260 is 38819750580.
2. How to calculate the LCM of 769, 243, 340, 282, 260?
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 769, 243, 340, 282, 260.
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}.