Find the LCM of 977, 894, 338, 117, 719 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 977, 894, 338, 117, 719. So, keep reading to learn more.
Given numbers are 977,894,338,117,719
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 977,894,338,117,719 is 318396974454.
Find LCM of 977,894,338,117,719 with Prime Factorization
2 | 977, 894, 338, 117, 719 |
3 | 977, 447, 169, 117, 719 |
13 | 977, 149, 169, 39, 719 |
977, 149, 13, 3, 719 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 977 x 149 x 13 x 3 x 719 = 318396974454
Therefore, the lowest common multiple of 977,894,338,117,719 is 318396974454.
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.
977 x 894 x 338 x 117 x 719 = 24834964007412
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.
977 : 1, 977
894 : 1, 2, 3, 6, 149, 298, 447, 894
338 : 1, 2, 13, 26, 169, 338
117 : 1, 3, 9, 13, 39, 117
719 : 1, 719
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,894,338,117,719, is 1.
Now, the common factors can be found like this.
977:977
894:2x 3x 149
338:2x 13x 13
117:3x 3x 13
719:719
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 13 = 78
Therefore, the value for common factors is 78.
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 = 24834964007412/(1x78)
LCM = 24834964007412/78
LCM = 318396974454
Thus, we can understand that the LCM of 977,894,338,117,719 is 318396974454.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 977, 894, 338, 117, 719?
Answer: LCM of 977, 894, 338, 117, 719 is 318396974454.
2. How to calculate the LCM of 977, 894, 338, 117, 719?
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 977, 894, 338, 117, 719.
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}.