LCM of 310, 577, 341, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 577, 341, 869 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 310, 577, 341, 869. So, keep reading to learn more.
Given numbers are 310,577,341,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,577,341,869 is 155438030.
Find LCM of 310,577,341,869 with Prime Factorization
| 11 | 310, 577, 341, 869 |
| 31 | 310, 577, 31, 79 |
| 10, 577, 1, 79 |
Multiply the prime numbers at the bottom and the left side.
11 x 31 x 10 x 577 x 1 x 79 = 155438030
Therefore, the lowest common multiple of 310,577,341,869 is 155438030.
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.
310 x 577 x 341 x 869 = 53004368230
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
577 : 1, 577
341 : 1, 11, 31, 341
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,577,341,869, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
577:577
341:11x 31
869:11x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 31 = 341
Therefore, the value for common factors is 341.
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 = 53004368230/(1x341)
LCM = 53004368230/341
LCM = 155438030
Thus, we can understand that the LCM of 310,577,341,869 is 155438030.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 310, 577, 341, 869
1. What is the LCM of 310, 577, 341, 869?
Answer: LCM of 310, 577, 341, 869 is 155438030.
2. How to calculate the LCM of 310, 577, 341, 869?
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 310, 577, 341, 869.
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}.