Find the LCM of 379, 625, 170, 374 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 379, 625, 170, 374. So, keep reading to learn more.
Given numbers are 379,625,170,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,625,170,374 is 88591250.
Find LCM of 379,625,170,374 with Prime Factorization
2 | 379, 625, 170, 374 |
5 | 379, 625, 85, 187 |
17 | 379, 125, 17, 187 |
379, 125, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 379 x 125 x 1 x 11 = 88591250
Therefore, the lowest common multiple of 379,625,170,374 is 88591250.
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.
379 x 625 x 170 x 374 = 15060512500
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.
379 : 1, 379
625 : 1, 5, 25, 125, 625
170 : 1, 2, 5, 10, 17, 34, 85, 170
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,625,170,374, is 1.
Now, the common factors can be found like this.
379:379
625:5x 5x 5x 5
170:2x 5x 17
374:2x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17 = 170
Therefore, the value for common factors is 170.
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 = 15060512500/(1x170)
LCM = 15060512500/170
LCM = 88591250
Thus, we can understand that the LCM of 379,625,170,374 is 88591250.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 379, 625, 170, 374?
Answer: LCM of 379, 625, 170, 374 is 88591250.
2. How to calculate the LCM of 379, 625, 170, 374?
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 379, 625, 170, 374.
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}.