Find the LCM of 689, 893, 514, 422, 777 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 689, 893, 514, 422, 777. So, keep reading to learn more.
Given numbers are 689,893,514,422,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,893,514,422,777 is 51848628615966.
Find LCM of 689,893,514,422,777 with Prime Factorization
2 | 689, 893, 514, 422, 777 |
689, 893, 257, 211, 777 |
Multiply the prime numbers at the bottom and the left side.
2 x 689 x 893 x 257 x 211 x 777 = 51848628615966
Therefore, the lowest common multiple of 689,893,514,422,777 is 51848628615966.
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.
689 x 893 x 514 x 422 x 777 = 103697257231932
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.
689 : 1, 13, 53, 689
893 : 1, 19, 47, 893
514 : 1, 2, 257, 514
422 : 1, 2, 211, 422
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,893,514,422,777, is 1.
Now, the common factors can be found like this.
689:13x 53
893:19x 47
514:2x 257
422:2x 211
777:3x 7x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 103697257231932/(1x2)
LCM = 103697257231932/2
LCM = 51848628615966
Thus, we can understand that the LCM of 689,893,514,422,777 is 51848628615966.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 689, 893, 514, 422, 777?
Answer: LCM of 689, 893, 514, 422, 777 is 51848628615966.
2. How to calculate the LCM of 689, 893, 514, 422, 777?
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 689, 893, 514, 422, 777.
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}.