LCM of 630, 779, 721, 794, 397
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 630, 779, 721, 794, 397 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 630, 779, 721, 794, 397. So, keep reading to learn more.
Given numbers are 630,779,721,794,397
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,779,721,794,397 is 20068076070.
Find LCM of 630,779,721,794,397 with Prime Factorization
| 2 | 630, 779, 721, 794, 397 |
| 7 | 315, 779, 721, 397, 397 |
| 397 | 45, 779, 103, 397, 397 |
| 45, 779, 103, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 397 x 45 x 779 x 103 x 1 x 1 = 20068076070
Therefore, the lowest common multiple of 630,779,721,794,397 is 20068076070.
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.
630 x 779 x 721 x 794 x 397 = 111538366797060
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.
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
779 : 1, 19, 41, 779
721 : 1, 7, 103, 721
794 : 1, 2, 397, 794
397 : 1, 397
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,779,721,794,397, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
779:19x 41
721:7x 103
794:2x 397
397:397
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 397 = 5558
Therefore, the value for common factors is 5558.
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 = 111538366797060/(1x5558)
LCM = 111538366797060/5558
LCM = 20068076070
Thus, we can understand that the LCM of 630,779,721,794,397 is 20068076070.
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FAQs on LCM of 630, 779, 721, 794, 397
1. What is the LCM of 630, 779, 721, 794, 397?
Answer: LCM of 630, 779, 721, 794, 397 is 20068076070.
2. How to calculate the LCM of 630, 779, 721, 794, 397?
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 630, 779, 721, 794, 397.
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}.