LCM of 579, 699, 900, 386
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 579, 699, 900, 386 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 579, 699, 900, 386. So, keep reading to learn more.
Given numbers are 579,699,900,386
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,699,900,386 is 40472100.
Find LCM of 579,699,900,386 with Prime Factorization
| 2 | 579, 699, 900, 386 |
| 3 | 579, 699, 450, 193 |
| 193 | 193, 233, 150, 193 |
| 1, 233, 150, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 193 x 1 x 233 x 150 x 1 = 40472100
Therefore, the lowest common multiple of 579,699,900,386 is 40472100.
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.
579 x 699 x 900 x 386 = 140600075400
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.
579 : 1, 3, 193, 579
699 : 1, 3, 233, 699
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
386 : 1, 2, 193, 386
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,699,900,386, is 1.
Now, the common factors can be found like this.
579:3x 193
699:3x 233
900:2x 2x 3x 3x 5x 5
386:2x 193
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 3x 193 = 3474
Therefore, the value for common factors is 3474.
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 = 140600075400/(1x3474)
LCM = 140600075400/3474
LCM = 40472100
Thus, we can understand that the LCM of 579,699,900,386 is 40472100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 579, 699, 900, 386
1. What is the LCM of 579, 699, 900, 386?
Answer: LCM of 579, 699, 900, 386 is 40472100.
2. How to calculate the LCM of 579, 699, 900, 386?
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 579, 699, 900, 386.
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}.