Find the LCM of 785, 339, 157, 409 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, 339, 157, 409. So, keep reading to learn more.
Given numbers are 785,339,157,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,339,157,409 is 108841035.
Find LCM of 785,339,157,409 with Prime Factorization
157 | 785, 339, 157, 409 |
5, 339, 1, 409 |
Multiply the prime numbers at the bottom and the left side.
157 x 5 x 339 x 1 x 409 = 108841035
Therefore, the lowest common multiple of 785,339,157,409 is 108841035.
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 339 x 157 x 409 = 17088042495
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
339 : 1, 3, 113, 339
157 : 1, 157
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,339,157,409, is 1.
Now, the common factors can be found like this.
785:5x 157
339:3x 113
157:157
409:409
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
157 = 157
Therefore, the value for common factors is 157.
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 = 17088042495/(1x157)
LCM = 17088042495/157
LCM = 108841035
Thus, we can understand that the LCM of 785,339,157,409 is 108841035.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 785, 339, 157, 409?
Answer: LCM of 785, 339, 157, 409 is 108841035.
2. How to calculate the LCM of 785, 339, 157, 409?
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, 339, 157, 409.
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}.