LCM of 640, 748, 123, 466, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 640, 748, 123, 466, 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 640, 748, 123, 466, 682. So, keep reading to learn more.
Given numbers are 640,748,123,466,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 640,748,123,466,682 is 106327182720.
Find LCM of 640,748,123,466,682 with Prime Factorization
| 2 | 640, 748, 123, 466, 682 |
| 2 | 320, 374, 123, 233, 341 |
| 11 | 160, 187, 123, 233, 341 |
| 160, 17, 123, 233, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 160 x 17 x 123 x 233 x 31 = 106327182720
Therefore, the lowest common multiple of 640,748,123,466,682 is 106327182720.
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.
640 x 748 x 123 x 466 x 682 = 18713584158720
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.
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
123 : 1, 3, 41, 123
466 : 1, 2, 233, 466
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 640,748,123,466,682, is 1.
Now, the common factors can be found like this.
640:2x 2x 2x 2x 2x 2x 2x 5
748:2x 2x 11x 17
123:3x 41
466:2x 233
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 2x 11 = 176
Therefore, the value for common factors is 176.
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 = 18713584158720/(1x176)
LCM = 18713584158720/176
LCM = 106327182720
Thus, we can understand that the LCM of 640,748,123,466,682 is 106327182720.
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FAQs on LCM of 640, 748, 123, 466, 682
1. What is the LCM of 640, 748, 123, 466, 682?
Answer: LCM of 640, 748, 123, 466, 682 is 106327182720.
2. How to calculate the LCM of 640, 748, 123, 466, 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 640, 748, 123, 466, 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}.