Find the LCM of 125, 973, 253, 609, 754 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, 973, 253, 609, 754. So, keep reading to learn more.
Given numbers are 125,973,253,609,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 125,973,253,609,754 is 69604284750.
Find LCM of 125,973,253,609,754 with Prime Factorization
7 | 125, 973, 253, 609, 754 |
29 | 125, 139, 253, 87, 754 |
125, 139, 253, 3, 26 |
Multiply the prime numbers at the bottom and the left side.
7 x 29 x 125 x 139 x 253 x 3 x 26 = 69604284750
Therefore, the lowest common multiple of 125,973,253,609,754 is 69604284750.
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 973 x 253 x 609 x 754 = 14129669804250
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
973 : 1, 7, 139, 973
253 : 1, 11, 23, 253
609 : 1, 3, 7, 21, 29, 87, 203, 609
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,973,253,609,754, is 1.
Now, the common factors can be found like this.
125:5x 5x 5
973:7x 139
253:11x 23
609:3x 7x 29
754:2x 13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 29 = 203
Therefore, the value for common factors is 203.
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 = 14129669804250/(1x203)
LCM = 14129669804250/203
LCM = 69604284750
Thus, we can understand that the LCM of 125,973,253,609,754 is 69604284750.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 125, 973, 253, 609, 754?
Answer: LCM of 125, 973, 253, 609, 754 is 69604284750.
2. How to calculate the LCM of 125, 973, 253, 609, 754?
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, 973, 253, 609, 754.
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}.