LCM of 772, 687, 537, 637, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 772, 687, 537, 637, 672 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 772, 687, 537, 637, 672. So, keep reading to learn more.
Given numbers are 772,687,537,637,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,687,537,637,672 is 483789554976.
Find LCM of 772,687,537,637,672 with Prime Factorization
| 2 | 772, 687, 537, 637, 672 |
| 2 | 386, 687, 537, 637, 336 |
| 3 | 193, 687, 537, 637, 168 |
| 7 | 193, 229, 179, 637, 56 |
| 193, 229, 179, 91, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 193 x 229 x 179 x 91 x 8 = 483789554976
Therefore, the lowest common multiple of 772,687,537,637,672 is 483789554976.
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.
772 x 687 x 537 x 637 x 672 = 121914967853952
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.
772 : 1, 2, 4, 193, 386, 772
687 : 1, 3, 229, 687
537 : 1, 3, 179, 537
637 : 1, 7, 13, 49, 91, 637
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,687,537,637,672, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
687:3x 229
537:3x 179
637:7x 7x 13
672:2x 2x 2x 2x 2x 3x 7
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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 121914967853952/(1x252)
LCM = 121914967853952/252
LCM = 483789554976
Thus, we can understand that the LCM of 772,687,537,637,672 is 483789554976.
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FAQs on LCM of 772, 687, 537, 637, 672
1. What is the LCM of 772, 687, 537, 637, 672?
Answer: LCM of 772, 687, 537, 637, 672 is 483789554976.
2. How to calculate the LCM of 772, 687, 537, 637, 672?
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 772, 687, 537, 637, 672.
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}.