LCM of 730, 280, 905, 458, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 730, 280, 905, 458, 897 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 730, 280, 905, 458, 897. So, keep reading to learn more.
Given numbers are 730,280,905,458,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 730,280,905,458,897 is 759954151320.
Find LCM of 730,280,905,458,897 with Prime Factorization
| 2 | 730, 280, 905, 458, 897 |
| 5 | 365, 140, 905, 229, 897 |
| 73, 28, 181, 229, 897 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 73 x 28 x 181 x 229 x 897 = 759954151320
Therefore, the lowest common multiple of 730,280,905,458,897 is 759954151320.
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.
730 x 280 x 905 x 458 x 897 = 75995415132000
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.
730 : 1, 2, 5, 10, 73, 146, 365, 730
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
905 : 1, 5, 181, 905
458 : 1, 2, 229, 458
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,280,905,458,897, is 1.
Now, the common factors can be found like this.
730:2x 5x 73
280:2x 2x 2x 5x 7
905:5x 181
458:2x 229
897:3x 13x 23
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 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 75995415132000/(1x100)
LCM = 75995415132000/100
LCM = 759954151320
Thus, we can understand that the LCM of 730,280,905,458,897 is 759954151320.
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FAQs on LCM of 730, 280, 905, 458, 897
1. What is the LCM of 730, 280, 905, 458, 897?
Answer: LCM of 730, 280, 905, 458, 897 is 759954151320.
2. How to calculate the LCM of 730, 280, 905, 458, 897?
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 730, 280, 905, 458, 897.
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}.