Find the LCM of 125, 548, 548, 172, 376 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 125, 548, 548, 172, 376. So, keep reading to learn more.
Given numbers are 125,548,548,172,376
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 125,548,548,172,376 is 276877000.
Find LCM of 125,548,548,172,376 with Prime Factorization
2 | 125, 548, 548, 172, 376 |
2 | 125, 274, 274, 86, 188 |
137 | 125, 137, 137, 43, 94 |
125, 1, 1, 43, 94 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 137 x 125 x 1 x 1 x 43 x 94 = 276877000
Therefore, the lowest common multiple of 125,548,548,172,376 is 276877000.
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.
125 x 548 x 548 x 172 x 376 = 2427657536000
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.
125 : 1, 5, 25, 125
548 : 1, 2, 4, 137, 274, 548
548 : 1, 2, 4, 137, 274, 548
172 : 1, 2, 4, 43, 86, 172
376 : 1, 2, 4, 8, 47, 94, 188, 376
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,548,548,172,376, is 1.
Now, the common factors can be found like this.
125:5x 5x 5
548:2x 2x 137
548:2x 2x 137
172:2x 2x 43
376:2x 2x 2x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 137 = 8768
Therefore, the value for common factors is 8768.
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 = 2427657536000/(1x8768)
LCM = 2427657536000/8768
LCM = 276877000
Thus, we can understand that the LCM of 125,548,548,172,376 is 276877000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 125, 548, 548, 172, 376?
Answer: LCM of 125, 548, 548, 172, 376 is 276877000.
2. How to calculate the LCM of 125, 548, 548, 172, 376?
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 125, 548, 548, 172, 376.
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}.