LCM of 514, 779, 301, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 779, 301, 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 514, 779, 301, 931. So, keep reading to learn more.
Given numbers are 514,779,301,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,779,301,931 is 843655442.
Find LCM of 514,779,301,931 with Prime Factorization
| 7 | 514, 779, 301, 931 |
| 19 | 514, 779, 43, 133 |
| 514, 41, 43, 7 |
Multiply the prime numbers at the bottom and the left side.
7 x 19 x 514 x 41 x 43 x 7 = 843655442
Therefore, the lowest common multiple of 514,779,301,931 is 843655442.
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.
514 x 779 x 301 x 931 = 112206173786
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.
514 : 1, 2, 257, 514
779 : 1, 19, 41, 779
301 : 1, 7, 43, 301
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 514,779,301,931, is 1.
Now, the common factors can be found like this.
514:2x 257
779:19x 41
301:7x 43
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.
7x 19 = 133
Therefore, the value for common factors is 133.
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 = 112206173786/(1x133)
LCM = 112206173786/133
LCM = 843655442
Thus, we can understand that the LCM of 514,779,301,931 is 843655442.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 514, 779, 301, 931
1. What is the LCM of 514, 779, 301, 931?
Answer: LCM of 514, 779, 301, 931 is 843655442.
2. How to calculate the LCM of 514, 779, 301, 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 514, 779, 301, 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}.