Find the LCM of 811, 241, 241, 565, 318 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 811, 241, 241, 565, 318. So, keep reading to learn more.
Given numbers are 811,241,241,565,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 811,241,241,565,318 is 35116681170.
Find LCM of 811,241,241,565,318 with Prime Factorization
241 | 811, 241, 241, 565, 318 |
811, 1, 1, 565, 318 |
Multiply the prime numbers at the bottom and the left side.
241 x 811 x 1 x 1 x 565 x 318 = 35116681170
Therefore, the lowest common multiple of 811,241,241,565,318 is 35116681170.
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.
811 x 241 x 241 x 565 x 318 = 8463120161970
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.
811 : 1, 811
241 : 1, 241
241 : 1, 241
565 : 1, 5, 113, 565
318 : 1, 2, 3, 6, 53, 106, 159, 318
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 811,241,241,565,318, is 1.
Now, the common factors can be found like this.
811:811
241:241
241:241
565:5x 113
318:2x 3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
241 = 241
Therefore, the value for common factors is 241.
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 = 8463120161970/(1x241)
LCM = 8463120161970/241
LCM = 35116681170
Thus, we can understand that the LCM of 811,241,241,565,318 is 35116681170.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 811, 241, 241, 565, 318?
Answer: LCM of 811, 241, 241, 565, 318 is 35116681170.
2. How to calculate the LCM of 811, 241, 241, 565, 318?
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 811, 241, 241, 565, 318.
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}.