Find the LCM of 967, 946, 890, 748, 986 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 967, 946, 890, 748, 986. So, keep reading to learn more.
Given numbers are 967,946,890,748,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,946,890,748,986 is 401378898140.
Find LCM of 967,946,890,748,986 with Prime Factorization
2 | 967, 946, 890, 748, 986 |
11 | 967, 473, 445, 374, 493 |
17 | 967, 43, 445, 34, 493 |
967, 43, 445, 2, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 967 x 43 x 445 x 2 x 29 = 401378898140
Therefore, the lowest common multiple of 967,946,890,748,986 is 401378898140.
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.
967 x 946 x 890 x 748 x 986 = 600462831617440
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.
967 : 1, 967
946 : 1, 2, 11, 22, 43, 86, 473, 946
890 : 1, 2, 5, 10, 89, 178, 445, 890
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,946,890,748,986, is 1.
Now, the common factors can be found like this.
967:967
946:2x 11x 43
890:2x 5x 89
748:2x 2x 11x 17
986:2x 17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 11x 17 = 1496
Therefore, the value for common factors is 1496.
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 = 600462831617440/(1x1496)
LCM = 600462831617440/1496
LCM = 401378898140
Thus, we can understand that the LCM of 967,946,890,748,986 is 401378898140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 967, 946, 890, 748, 986?
Answer: LCM of 967, 946, 890, 748, 986 is 401378898140.
2. How to calculate the LCM of 967, 946, 890, 748, 986?
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 967, 946, 890, 748, 986.
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}.