Find the LCM of 711, 417, 971, 924, 794 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 711, 417, 971, 924, 794. So, keep reading to learn more.
Given numbers are 711,417,971,924,794
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,417,971,924,794 is 11733966774684.
Find LCM of 711,417,971,924,794 with Prime Factorization
2 | 711, 417, 971, 924, 794 |
3 | 711, 417, 971, 462, 397 |
237, 139, 971, 154, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 237 x 139 x 971 x 154 x 397 = 11733966774684
Therefore, the lowest common multiple of 711,417,971,924,794 is 11733966774684.
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.
711 x 417 x 971 x 924 x 794 = 211211401944312
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.
711 : 1, 3, 9, 79, 237, 711
417 : 1, 3, 139, 417
971 : 1, 971
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
794 : 1, 2, 397, 794
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,417,971,924,794, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
417:3x 139
971:971
924:2x 2x 3x 7x 11
794:2x 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 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 211211401944312/(1x18)
LCM = 211211401944312/18
LCM = 11733966774684
Thus, we can understand that the LCM of 711,417,971,924,794 is 11733966774684.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 711, 417, 971, 924, 794?
Answer: LCM of 711, 417, 971, 924, 794 is 11733966774684.
2. How to calculate the LCM of 711, 417, 971, 924, 794?
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 711, 417, 971, 924, 794.
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}.