LCM of 800, 452, 714, 228, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 800, 452, 714, 228, 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 800, 452, 714, 228, 672. So, keep reading to learn more.
Given numbers are 800,452,714,228,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 800,452,714,228,672 is 613183200.
Find LCM of 800,452,714,228,672 with Prime Factorization
| 2 | 800, 452, 714, 228, 672 |
| 2 | 400, 226, 357, 114, 336 |
| 2 | 200, 113, 357, 57, 168 |
| 2 | 100, 113, 357, 57, 84 |
| 2 | 50, 113, 357, 57, 42 |
| 3 | 25, 113, 357, 57, 21 |
| 7 | 25, 113, 119, 19, 7 |
| 25, 113, 17, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 7 x 25 x 113 x 17 x 19 x 1 = 613183200
Therefore, the lowest common multiple of 800,452,714,228,672 is 613183200.
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.
800 x 452 x 714 x 228 x 672 = 39557674598400
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.
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
452 : 1, 2, 4, 113, 226, 452
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
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
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,452,714,228,672, is 2.
Now, the common factors can be found like this.
800:2x 2x 2x 2x 2x 5x 5
452:2x 2x 113
714:2x 3x 7x 17
228:2x 2x 3x 19
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 2x 2x 2x 2x 2x 2x 2x 3x 3x 7 = 32256
Therefore, the value for common factors is 32256.
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 = 39557674598400/(2x32256)
LCM = 39557674598400/64512
LCM = 613183200
Thus, we can understand that the LCM of 800,452,714,228,672 is 613183200.
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FAQs on LCM of 800, 452, 714, 228, 672
1. What is the LCM of 800, 452, 714, 228, 672?
Answer: LCM of 800, 452, 714, 228, 672 is 613183200.
2. How to calculate the LCM of 800, 452, 714, 228, 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 800, 452, 714, 228, 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}.