Find the LCM of 172, 248, 916, 129, 746 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 172, 248, 916, 129, 746. So, keep reading to learn more.
Given numbers are 172,248,916,129,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 172,248,916,129,746 is 2732660664.
Find LCM of 172,248,916,129,746 with Prime Factorization
2 | 172, 248, 916, 129, 746 |
2 | 86, 124, 458, 129, 373 |
43 | 43, 62, 229, 129, 373 |
1, 62, 229, 3, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 1 x 62 x 229 x 3 x 373 = 2732660664
Therefore, the lowest common multiple of 172,248,916,129,746 is 2732660664.
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.
172 x 248 x 916 x 129 x 746 = 3760141073664
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.
172 : 1, 2, 4, 43, 86, 172
248 : 1, 2, 4, 8, 31, 62, 124, 248
916 : 1, 2, 4, 229, 458, 916
129 : 1, 3, 43, 129
746 : 1, 2, 373, 746
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,248,916,129,746, is 1.
Now, the common factors can be found like this.
172:2x 2x 43
248:2x 2x 2x 31
916:2x 2x 229
129:3x 43
746:2x 373
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 43 = 1376
Therefore, the value for common factors is 1376.
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 = 3760141073664/(1x1376)
LCM = 3760141073664/1376
LCM = 2732660664
Thus, we can understand that the LCM of 172,248,916,129,746 is 2732660664.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 172, 248, 916, 129, 746?
Answer: LCM of 172, 248, 916, 129, 746 is 2732660664.
2. How to calculate the LCM of 172, 248, 916, 129, 746?
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 172, 248, 916, 129, 746.
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}.