LCM of 782, 275, 668, 268, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 275, 668, 268, 385 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, 275, 668, 268, 385. So, keep reading to learn more.
Given numbers are 782,275,668,268,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,275,668,268,385 is 33686722300.
Find LCM of 782,275,668,268,385 with Prime Factorization
| 2 | 782, 275, 668, 268, 385 |
| 2 | 391, 275, 334, 134, 385 |
| 5 | 391, 275, 167, 67, 385 |
| 11 | 391, 55, 167, 67, 77 |
| 391, 5, 167, 67, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 391 x 5 x 167 x 67 x 7 = 33686722300
Therefore, the lowest common multiple of 782,275,668,268,385 is 33686722300.
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 275 x 668 x 268 x 385 = 14822157812000
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
275 : 1, 5, 11, 25, 55, 275
668 : 1, 2, 4, 167, 334, 668
268 : 1, 2, 4, 67, 134, 268
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,275,668,268,385, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
275:5x 5x 11
668:2x 2x 167
268:2x 2x 67
385:5x 7x 11
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 = 14822157812000/(1x440)
LCM = 14822157812000/440
LCM = 33686722300
Thus, we can understand that the LCM of 782,275,668,268,385 is 33686722300.
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FAQs on LCM of 782, 275, 668, 268, 385
1. What is the LCM of 782, 275, 668, 268, 385?
Answer: LCM of 782, 275, 668, 268, 385 is 33686722300.
2. How to calculate the LCM of 782, 275, 668, 268, 385?
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, 275, 668, 268, 385.
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}.