Find the LCM of 125, 750, 239, 274, 914 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, 750, 239, 274, 914. So, keep reading to learn more.
Given numbers are 125,750,239,274,914
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 125,750,239,274,914 is 11222663250.
Find LCM of 125,750,239,274,914 with Prime Factorization
2 | 125, 750, 239, 274, 914 |
5 | 125, 375, 239, 137, 457 |
5 | 25, 75, 239, 137, 457 |
5 | 5, 15, 239, 137, 457 |
1, 3, 239, 137, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 5 x 1 x 3 x 239 x 137 x 457 = 11222663250
Therefore, the lowest common multiple of 125,750,239,274,914 is 11222663250.
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 750 x 239 x 274 x 914 = 5611331625000
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
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
239 : 1, 239
274 : 1, 2, 137, 274
914 : 1, 2, 457, 914
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,750,239,274,914, is 1.
Now, the common factors can be found like this.
125:5x 5x 5
750:2x 3x 5x 5x 5
239:239
274:2x 137
914:2x 457
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 5x 5x 5 = 500
Therefore, the value for common factors is 500.
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 = 5611331625000/(1x500)
LCM = 5611331625000/500
LCM = 11222663250
Thus, we can understand that the LCM of 125,750,239,274,914 is 11222663250.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 125, 750, 239, 274, 914?
Answer: LCM of 125, 750, 239, 274, 914 is 11222663250.
2. How to calculate the LCM of 125, 750, 239, 274, 914?
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, 750, 239, 274, 914.
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}.