LCM of 721, 820, 426, 672, 914
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 820, 426, 672, 914 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 721, 820, 426, 672, 914. So, keep reading to learn more.
Given numbers are 721,820,426,672,914
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,820,426,672,914 is 460399568160.
Find LCM of 721,820,426,672,914 with Prime Factorization
| 2 | 721, 820, 426, 672, 914 |
| 2 | 721, 410, 213, 336, 457 |
| 3 | 721, 205, 213, 168, 457 |
| 7 | 721, 205, 71, 56, 457 |
| 103, 205, 71, 8, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 103 x 205 x 71 x 8 x 457 = 460399568160
Therefore, the lowest common multiple of 721,820,426,672,914 is 460399568160.
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.
721 x 820 x 426 x 672 x 914 = 154694254901760
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.
721 : 1, 7, 103, 721
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
426 : 1, 2, 3, 6, 71, 142, 213, 426
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
914 : 1, 2, 457, 914
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,820,426,672,914, is 1.
Now, the common factors can be found like this.
721:7x 103
820:2x 2x 5x 41
426:2x 3x 71
672:2x 2x 2x 2x 2x 3x 7
914:2x 457
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 7 = 336
Therefore, the value for common factors is 336.
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 = 154694254901760/(1x336)
LCM = 154694254901760/336
LCM = 460399568160
Thus, we can understand that the LCM of 721,820,426,672,914 is 460399568160.
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FAQs on LCM of 721, 820, 426, 672, 914
1. What is the LCM of 721, 820, 426, 672, 914?
Answer: LCM of 721, 820, 426, 672, 914 is 460399568160.
2. How to calculate the LCM of 721, 820, 426, 672, 914?
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 721, 820, 426, 672, 914.
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}.