Find the LCM of 625, 689, 130, 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 625, 689, 130, 371. So, keep reading to learn more.
Given numbers are 625,689,130,371
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 625,689,130,371 is 6028750.
Find LCM of 625,689,130,371 with Prime Factorization
5 | 625, 689, 130, 371 |
13 | 125, 689, 26, 371 |
53 | 125, 53, 2, 371 |
125, 1, 2, 7 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 53 x 125 x 1 x 2 x 7 = 6028750
Therefore, the lowest common multiple of 625,689,130,371 is 6028750.
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.
625 x 689 x 130 x 371 = 20769043750
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.
625 : 1, 5, 25, 125, 625
689 : 1, 13, 53, 689
130 : 1, 2, 5, 10, 13, 26, 65, 130
371 : 1, 7, 53, 371
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,689,130,371, is 1.
Now, the common factors can be found like this.
625:5x 5x 5x 5
689:13x 53
130:2x 5x 13
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.
5x 13x 53 = 3445
Therefore, the value for common factors is 3445.
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 = 20769043750/(1x3445)
LCM = 20769043750/3445
LCM = 6028750
Thus, we can understand that the LCM of 625,689,130,371 is 6028750.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 625, 689, 130, 371?
Answer: LCM of 625, 689, 130, 371 is 6028750.
2. How to calculate the LCM of 625, 689, 130, 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 625, 689, 130, 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}.