LCM of 568, 231, 672, 778, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 568, 231, 672, 778, 144 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 568, 231, 672, 778, 144. So, keep reading to learn more.
Given numbers are 568,231,672,778,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 568,231,672,778,144 is 612478944.
Find LCM of 568,231,672,778,144 with Prime Factorization
| 2 | 568, 231, 672, 778, 144 |
| 2 | 284, 231, 336, 389, 72 |
| 2 | 142, 231, 168, 389, 36 |
| 2 | 71, 231, 84, 389, 18 |
| 3 | 71, 231, 42, 389, 9 |
| 7 | 71, 77, 14, 389, 3 |
| 71, 11, 2, 389, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 71 x 11 x 2 x 389 x 3 = 612478944
Therefore, the lowest common multiple of 568,231,672,778,144 is 612478944.
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.
568 x 231 x 672 x 778 x 144 = 9878060408832
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.
568 : 1, 2, 4, 8, 71, 142, 284, 568
231 : 1, 3, 7, 11, 21, 33, 77, 231
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
778 : 1, 2, 389, 778
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,231,672,778,144, is 1.
Now, the common factors can be found like this.
568:2x 2x 2x 71
231:3x 7x 11
672:2x 2x 2x 2x 2x 3x 7
778:2x 389
144:2x 2x 2x 2x 3x 3
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 3x 3x 7 = 16128
Therefore, the value for common factors is 16128.
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 = 9878060408832/(1x16128)
LCM = 9878060408832/16128
LCM = 612478944
Thus, we can understand that the LCM of 568,231,672,778,144 is 612478944.
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FAQs on LCM of 568, 231, 672, 778, 144
1. What is the LCM of 568, 231, 672, 778, 144?
Answer: LCM of 568, 231, 672, 778, 144 is 612478944.
2. How to calculate the LCM of 568, 231, 672, 778, 144?
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 568, 231, 672, 778, 144.
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}.