Find the LCM of 986, 768, 722, 971 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 986, 768, 722, 971. So, keep reading to learn more.
Given numbers are 986,768,722,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,768,722,971 is 132719449344.
Find LCM of 986,768,722,971 with Prime Factorization
2 | 986, 768, 722, 971 |
493, 384, 361, 971 |
Multiply the prime numbers at the bottom and the left side.
2 x 493 x 384 x 361 x 971 = 132719449344
Therefore, the lowest common multiple of 986,768,722,971 is 132719449344.
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.
986 x 768 x 722 x 971 = 530877797376
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
722 : 1, 2, 19, 38, 361, 722
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,768,722,971, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
768:2x 2x 2x 2x 2x 2x 2x 2x 3
722:2x 19x 19
971:971
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 530877797376/(1x4)
LCM = 530877797376/4
LCM = 132719449344
Thus, we can understand that the LCM of 986,768,722,971 is 132719449344.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 986, 768, 722, 971?
Answer: LCM of 986, 768, 722, 971 is 132719449344.
2. How to calculate the LCM of 986, 768, 722, 971?
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 986, 768, 722, 971.
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}.