LCM of 160, 428, 657, 512, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 160, 428, 657, 512, 676 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 160, 428, 657, 512, 676. So, keep reading to learn more.
Given numbers are 160,428,657,512,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 160,428,657,512,676 is 30414159360.
Find LCM of 160,428,657,512,676 with Prime Factorization
| 2 | 160, 428, 657, 512, 676 |
| 2 | 80, 214, 657, 256, 338 |
| 2 | 40, 107, 657, 128, 169 |
| 2 | 20, 107, 657, 64, 169 |
| 2 | 10, 107, 657, 32, 169 |
| 5, 107, 657, 16, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 107 x 657 x 16 x 169 = 30414159360
Therefore, the lowest common multiple of 160,428,657,512,676 is 30414159360.
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.
160 x 428 x 657 x 512 x 676 = 15572049592320
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.
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
428 : 1, 2, 4, 107, 214, 428
657 : 1, 3, 9, 73, 219, 657
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,428,657,512,676, is 1.
Now, the common factors can be found like this.
160:2x 2x 2x 2x 2x 5
428:2x 2x 107
657:3x 3x 73
512:2x 2x 2x 2x 2x 2x 2x 2x 2
676:2x 2x 13x 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 2x 2x 2x 2x 2x 2 = 512
Therefore, the value for common factors is 512.
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 = 15572049592320/(1x512)
LCM = 15572049592320/512
LCM = 30414159360
Thus, we can understand that the LCM of 160,428,657,512,676 is 30414159360.
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FAQs on LCM of 160, 428, 657, 512, 676
1. What is the LCM of 160, 428, 657, 512, 676?
Answer: LCM of 160, 428, 657, 512, 676 is 30414159360.
2. How to calculate the LCM of 160, 428, 657, 512, 676?
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 160, 428, 657, 512, 676.
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}.