LCM of 730, 803, 719, 990, 386
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 730, 803, 719, 990, 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 730, 803, 719, 990, 386. So, keep reading to learn more.
Given numbers are 730,803,719,990,386
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 730,803,719,990,386 is 10028691090.
Find LCM of 730,803,719,990,386 with Prime Factorization
| 2 | 730, 803, 719, 990, 386 |
| 5 | 365, 803, 719, 495, 193 |
| 11 | 73, 803, 719, 99, 193 |
| 73 | 73, 73, 719, 9, 193 |
| 1, 1, 719, 9, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 73 x 1 x 1 x 719 x 9 x 193 = 10028691090
Therefore, the lowest common multiple of 730,803,719,990,386 is 10028691090.
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 803 x 719 x 990 x 386 = 161060778905400
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
803 : 1, 11, 73, 803
719 : 1, 719
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
386 : 1, 2, 193, 386
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,803,719,990,386, is 1.
Now, the common factors can be found like this.
730:2x 5x 73
803:11x 73
719:719
990:2x 3x 3x 5x 11
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 2x 5x 11x 73 = 16060
Therefore, the value for common factors is 16060.
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 = 161060778905400/(1x16060)
LCM = 161060778905400/16060
LCM = 10028691090
Thus, we can understand that the LCM of 730,803,719,990,386 is 10028691090.
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FAQs on LCM of 730, 803, 719, 990, 386
1. What is the LCM of 730, 803, 719, 990, 386?
Answer: LCM of 730, 803, 719, 990, 386 is 10028691090.
2. How to calculate the LCM of 730, 803, 719, 990, 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 730, 803, 719, 990, 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}.