LCM of 676, 320, 678, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 320, 678, 468 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 676, 320, 678, 468. So, keep reading to learn more.
Given numbers are 676,320,678,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,320,678,468 is 54999360.
Find LCM of 676,320,678,468 with Prime Factorization
| 2 | 676, 320, 678, 468 |
| 2 | 338, 160, 339, 234 |
| 3 | 169, 80, 339, 117 |
| 13 | 169, 80, 113, 39 |
| 13, 80, 113, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 13 x 80 x 113 x 3 = 54999360
Therefore, the lowest common multiple of 676,320,678,468 is 54999360.
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.
676 x 320 x 678 x 468 = 68639201280
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
678 : 1, 2, 3, 6, 113, 226, 339, 678
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,320,678,468, is 2.
Now, the common factors can be found like this.
676:2x 2x 13x 13
320:2x 2x 2x 2x 2x 2x 5
678:2x 3x 113
468:2x 2x 3x 3x 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 3x 13 = 624
Therefore, the value for common factors is 624.
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 = 68639201280/(2x624)
LCM = 68639201280/1248
LCM = 54999360
Thus, we can understand that the LCM of 676,320,678,468 is 54999360.
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FAQs on LCM of 676, 320, 678, 468
1. What is the LCM of 676, 320, 678, 468?
Answer: LCM of 676, 320, 678, 468 is 54999360.
2. How to calculate the LCM of 676, 320, 678, 468?
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 676, 320, 678, 468.
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}.