Find the LCM of 689, 114, 779, 371 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, 114, 779, 371. So, keep reading to learn more.
Given numbers are 689,114,779,371
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,114,779,371 is 22542702.
Find LCM of 689,114,779,371 with Prime Factorization
19 | 689, 114, 779, 371 |
53 | 689, 6, 41, 371 |
13, 6, 41, 7 |
Multiply the prime numbers at the bottom and the left side.
19 x 53 x 13 x 6 x 41 x 7 = 22542702
Therefore, the lowest common multiple of 689,114,779,371 is 22542702.
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 114 x 779 x 371 = 22700500914
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
114 : 1, 2, 3, 6, 19, 38, 57, 114
779 : 1, 19, 41, 779
371 : 1, 7, 53, 371
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,114,779,371, is 1.
Now, the common factors can be found like this.
689:13x 53
114:2x 3x 19
779:19x 41
371:7x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 53 = 1007
Therefore, the value for common factors is 1007.
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 = 22700500914/(1x1007)
LCM = 22700500914/1007
LCM = 22542702
Thus, we can understand that the LCM of 689,114,779,371 is 22542702.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 689, 114, 779, 371?
Answer: LCM of 689, 114, 779, 371 is 22542702.
2. How to calculate the LCM of 689, 114, 779, 371?
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, 114, 779, 371.
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}.