Find the LCM of 691, 691, 196, 973, 269 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 691, 691, 196, 973, 269. So, keep reading to learn more.
Given numbers are 691,691,196,973,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 691,691,196,973,269 is 5064087476.
Find LCM of 691,691,196,973,269 with Prime Factorization
7 | 691, 691, 196, 973, 269 |
691 | 691, 691, 28, 139, 269 |
1, 1, 28, 139, 269 |
Multiply the prime numbers at the bottom and the left side.
7 x 691 x 1 x 1 x 28 x 139 x 269 = 5064087476
Therefore, the lowest common multiple of 691,691,196,973,269 is 5064087476.
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.
691 x 691 x 196 x 973 x 269 = 24494991121412
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.
691 : 1, 691
691 : 1, 691
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
973 : 1, 7, 139, 973
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,691,196,973,269, is 1.
Now, the common factors can be found like this.
691:691
691:691
196:2x 2x 7x 7
973:7x 139
269:269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 691 = 4837
Therefore, the value for common factors is 4837.
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 = 24494991121412/(1x4837)
LCM = 24494991121412/4837
LCM = 5064087476
Thus, we can understand that the LCM of 691,691,196,973,269 is 5064087476.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 691, 691, 196, 973, 269?
Answer: LCM of 691, 691, 196, 973, 269 is 5064087476.
2. How to calculate the LCM of 691, 691, 196, 973, 269?
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 691, 691, 196, 973, 269.
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}.