LCM of 830, 338, 975, 299, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 830, 338, 975, 299, 609 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 830, 338, 975, 299, 609. So, keep reading to learn more.
Given numbers are 830,338,975,299,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 830,338,975,299,609 is 9823809450.
Find LCM of 830,338,975,299,609 with Prime Factorization
| 2 | 830, 338, 975, 299, 609 |
| 3 | 415, 169, 975, 299, 609 |
| 5 | 415, 169, 325, 299, 203 |
| 13 | 83, 169, 65, 299, 203 |
| 83, 13, 5, 23, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 83 x 13 x 5 x 23 x 203 = 9823809450
Therefore, the lowest common multiple of 830,338,975,299,609 is 9823809450.
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.
830 x 338 x 975 x 299 x 609 = 49806713911500
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.
830 : 1, 2, 5, 10, 83, 166, 415, 830
338 : 1, 2, 13, 26, 169, 338
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
299 : 1, 13, 23, 299
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,338,975,299,609, is 1.
Now, the common factors can be found like this.
830:2x 5x 83
338:2x 13x 13
975:3x 5x 5x 13
299:13x 23
609:3x 7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 13x 13 = 5070
Therefore, the value for common factors is 5070.
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 = 49806713911500/(1x5070)
LCM = 49806713911500/5070
LCM = 9823809450
Thus, we can understand that the LCM of 830,338,975,299,609 is 9823809450.
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FAQs on LCM of 830, 338, 975, 299, 609
1. What is the LCM of 830, 338, 975, 299, 609?
Answer: LCM of 830, 338, 975, 299, 609 is 9823809450.
2. How to calculate the LCM of 830, 338, 975, 299, 609?
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 830, 338, 975, 299, 609.
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}.