LCM of 397, 230, 506, 829, 830
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 397, 230, 506, 829, 830 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 397, 230, 506, 829, 830. So, keep reading to learn more.
Given numbers are 397,230,506,829,830
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,230,506,829,830 is 69110438870.
Find LCM of 397,230,506,829,830 with Prime Factorization
| 2 | 397, 230, 506, 829, 830 |
| 5 | 397, 115, 253, 829, 415 |
| 23 | 397, 23, 253, 829, 83 |
| 397, 1, 11, 829, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 397 x 1 x 11 x 829 x 83 = 69110438870
Therefore, the lowest common multiple of 397,230,506,829,830 is 69110438870.
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.
397 x 230 x 506 x 829 x 830 = 31790801880200
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.
397 : 1, 397
230 : 1, 2, 5, 10, 23, 46, 115, 230
506 : 1, 2, 11, 22, 23, 46, 253, 506
829 : 1, 829
830 : 1, 2, 5, 10, 83, 166, 415, 830
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,230,506,829,830, is 1.
Now, the common factors can be found like this.
397:397
230:2x 5x 23
506:2x 11x 23
829:829
830:2x 5x 83
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 23 = 460
Therefore, the value for common factors is 460.
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 = 31790801880200/(1x460)
LCM = 31790801880200/460
LCM = 69110438870
Thus, we can understand that the LCM of 397,230,506,829,830 is 69110438870.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 397, 230, 506, 829, 830
1. What is the LCM of 397, 230, 506, 829, 830?
Answer: LCM of 397, 230, 506, 829, 830 is 69110438870.
2. How to calculate the LCM of 397, 230, 506, 829, 830?
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 397, 230, 506, 829, 830.
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}.