Find the LCM of 674, 889, 964, 118, 981 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 674, 889, 964, 118, 981. So, keep reading to learn more.
Given numbers are 674,889,964,118,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,889,964,118,981 is 16715898090108.
Find LCM of 674,889,964,118,981 with Prime Factorization
2 | 674, 889, 964, 118, 981 |
337, 889, 482, 59, 981 |
Multiply the prime numbers at the bottom and the left side.
2 x 337 x 889 x 482 x 59 x 981 = 16715898090108
Therefore, the lowest common multiple of 674,889,964,118,981 is 16715898090108.
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.
674 x 889 x 964 x 118 x 981 = 66863592360432
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.
674 : 1, 2, 337, 674
889 : 1, 7, 127, 889
964 : 1, 2, 4, 241, 482, 964
118 : 1, 2, 59, 118
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,889,964,118,981, is 1.
Now, the common factors can be found like this.
674:2x 337
889:7x 127
964:2x 2x 241
118:2x 59
981:3x 3x 109
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 = 66863592360432/(1x4)
LCM = 66863592360432/4
LCM = 16715898090108
Thus, we can understand that the LCM of 674,889,964,118,981 is 16715898090108.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 674, 889, 964, 118, 981?
Answer: LCM of 674, 889, 964, 118, 981 is 16715898090108.
2. How to calculate the LCM of 674, 889, 964, 118, 981?
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 674, 889, 964, 118, 981.
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}.