Find the LCM of 875, 451, 314, 972, 229 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 875, 451, 314, 972, 229. So, keep reading to learn more.
Given numbers are 875,451,314,972,229
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 875,451,314,972,229 is 13790689951500.
Find LCM of 875,451,314,972,229 with Prime Factorization
2 | 875, 451, 314, 972, 229 |
875, 451, 157, 486, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 875 x 451 x 157 x 486 x 229 = 13790689951500
Therefore, the lowest common multiple of 875,451,314,972,229 is 13790689951500.
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.
875 x 451 x 314 x 972 x 229 = 27581379903000
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.
875 : 1, 5, 7, 25, 35, 125, 175, 875
451 : 1, 11, 41, 451
314 : 1, 2, 157, 314
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
229 : 1, 229
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 875,451,314,972,229, is 1.
Now, the common factors can be found like this.
875:5x 5x 5x 7
451:11x 41
314:2x 157
972:2x 2x 3x 3x 3x 3x 3
229:229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 27581379903000/(1x2)
LCM = 27581379903000/2
LCM = 13790689951500
Thus, we can understand that the LCM of 875,451,314,972,229 is 13790689951500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 875, 451, 314, 972, 229?
Answer: LCM of 875, 451, 314, 972, 229 is 13790689951500.
2. How to calculate the LCM of 875, 451, 314, 972, 229?
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 875, 451, 314, 972, 229.
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}.