Find the LCM of 691, 283, 771, 514 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, 283, 771, 514. So, keep reading to learn more.
Given numbers are 691,283,771,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 691,283,771,514 is 301542726.
Find LCM of 691,283,771,514 with Prime Factorization
257 | 691, 283, 771, 514 |
691, 283, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
257 x 691 x 283 x 3 x 2 = 301542726
Therefore, the lowest common multiple of 691,283,771,514 is 301542726.
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 283 x 771 x 514 = 77496480582
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
283 : 1, 283
771 : 1, 3, 257, 771
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,283,771,514, is 1.
Now, the common factors can be found like this.
691:691
283:283
771:3x 257
514:2x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
257 = 257
Therefore, the value for common factors is 257.
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 = 77496480582/(1x257)
LCM = 77496480582/257
LCM = 301542726
Thus, we can understand that the LCM of 691,283,771,514 is 301542726.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 691, 283, 771, 514?
Answer: LCM of 691, 283, 771, 514 is 301542726.
2. How to calculate the LCM of 691, 283, 771, 514?
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, 283, 771, 514.
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}.