Find the LCM of 925, 249, 171, 446, 763 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 925, 249, 171, 446, 763. So, keep reading to learn more.
Given numbers are 925,249,171,446,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 925,249,171,446,763 is 4467610800450.
Find LCM of 925,249,171,446,763 with Prime Factorization
3 | 925, 249, 171, 446, 763 |
925, 83, 57, 446, 763 |
Multiply the prime numbers at the bottom and the left side.
3 x 925 x 83 x 57 x 446 x 763 = 4467610800450
Therefore, the lowest common multiple of 925,249,171,446,763 is 4467610800450.
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.
925 x 249 x 171 x 446 x 763 = 13402832401350
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.
925 : 1, 5, 25, 37, 185, 925
249 : 1, 3, 83, 249
171 : 1, 3, 9, 19, 57, 171
446 : 1, 2, 223, 446
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,249,171,446,763, is 1.
Now, the common factors can be found like this.
925:5x 5x 37
249:3x 83
171:3x 3x 19
446:2x 223
763:7x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 13402832401350/(1x3)
LCM = 13402832401350/3
LCM = 4467610800450
Thus, we can understand that the LCM of 925,249,171,446,763 is 4467610800450.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 925, 249, 171, 446, 763?
Answer: LCM of 925, 249, 171, 446, 763 is 4467610800450.
2. How to calculate the LCM of 925, 249, 171, 446, 763?
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 925, 249, 171, 446, 763.
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}.