Find the LCM of 785, 346, 628, 161 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 785, 346, 628, 161. So, keep reading to learn more.
Given numbers are 785,346,628,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,346,628,161 is 87458420.
Find LCM of 785,346,628,161 with Prime Factorization
2 | 785, 346, 628, 161 |
157 | 785, 173, 314, 161 |
5, 173, 2, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 157 x 5 x 173 x 2 x 161 = 87458420
Therefore, the lowest common multiple of 785,346,628,161 is 87458420.
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.
785 x 346 x 628 x 161 = 27461943880
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.
785 : 1, 5, 157, 785
346 : 1, 2, 173, 346
628 : 1, 2, 4, 157, 314, 628
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,346,628,161, is 1.
Now, the common factors can be found like this.
785:5x 157
346:2x 173
628:2x 2x 157
161:7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 157 = 314
Therefore, the value for common factors is 314.
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 = 27461943880/(1x314)
LCM = 27461943880/314
LCM = 87458420
Thus, we can understand that the LCM of 785,346,628,161 is 87458420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 785, 346, 628, 161?
Answer: LCM of 785, 346, 628, 161 is 87458420.
2. How to calculate the LCM of 785, 346, 628, 161?
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 785, 346, 628, 161.
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}.