Find the LCM of 970, 977, 329, 987, 769 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 970, 977, 329, 987, 769. So, keep reading to learn more.
Given numbers are 970,977,329,987,769
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,977,329,987,769 is 719299553070.
Find LCM of 970,977,329,987,769 with Prime Factorization
7 | 970, 977, 329, 987, 769 |
47 | 970, 977, 47, 141, 769 |
970, 977, 1, 3, 769 |
Multiply the prime numbers at the bottom and the left side.
7 x 47 x 970 x 977 x 1 x 3 x 769 = 719299553070
Therefore, the lowest common multiple of 970,977,329,987,769 is 719299553070.
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.
970 x 977 x 329 x 987 x 769 = 236649552960030
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
977 : 1, 977
329 : 1, 7, 47, 329
987 : 1, 3, 7, 21, 47, 141, 329, 987
769 : 1, 769
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,977,329,987,769, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
977:977
329:7x 47
987:3x 7x 47
769:769
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 47 = 329
Therefore, the value for common factors is 329.
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 = 236649552960030/(1x329)
LCM = 236649552960030/329
LCM = 719299553070
Thus, we can understand that the LCM of 970,977,329,987,769 is 719299553070.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 970, 977, 329, 987, 769?
Answer: LCM of 970, 977, 329, 987, 769 is 719299553070.
2. How to calculate the LCM of 970, 977, 329, 987, 769?
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 970, 977, 329, 987, 769.
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}.