LCM of 397, 247, 794, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 397, 247, 794, 931 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, 247, 794, 931. So, keep reading to learn more.
Given numbers are 397,247,794,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,247,794,931 is 9609782.
Find LCM of 397,247,794,931 with Prime Factorization
| 19 | 397, 247, 794, 931 |
| 397 | 397, 13, 794, 49 |
| 1, 13, 2, 49 |
Multiply the prime numbers at the bottom and the left side.
19 x 397 x 1 x 13 x 2 x 49 = 9609782
Therefore, the lowest common multiple of 397,247,794,931 is 9609782.
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 247 x 794 x 931 = 72486585626
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
247 : 1, 13, 19, 247
794 : 1, 2, 397, 794
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,247,794,931, is 1.
Now, the common factors can be found like this.
397:397
247:13x 19
794:2x 397
931:7x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 397 = 7543
Therefore, the value for common factors is 7543.
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 = 72486585626/(1x7543)
LCM = 72486585626/7543
LCM = 9609782
Thus, we can understand that the LCM of 397,247,794,931 is 9609782.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 397, 247, 794, 931
1. What is the LCM of 397, 247, 794, 931?
Answer: LCM of 397, 247, 794, 931 is 9609782.
2. How to calculate the LCM of 397, 247, 794, 931?
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, 247, 794, 931.
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}.