Find the LCM of 137, 409, 409, 355 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 137, 409, 409, 355. So, keep reading to learn more.
Given numbers are 137,409,409,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,409,409,355 is 19891715.
Find LCM of 137,409,409,355 with Prime Factorization
409 | 137, 409, 409, 355 |
137, 1, 1, 355 |
Multiply the prime numbers at the bottom and the left side.
409 x 137 x 1 x 1 x 355 = 19891715
Therefore, the lowest common multiple of 137,409,409,355 is 19891715.
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.
137 x 409 x 409 x 355 = 8135711435
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.
137 : 1, 137
409 : 1, 409
409 : 1, 409
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,409,409,355, is 1.
Now, the common factors can be found like this.
137:137
409:409
409:409
355:5x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
409 = 409
Therefore, the value for common factors is 409.
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 = 8135711435/(1x409)
LCM = 8135711435/409
LCM = 19891715
Thus, we can understand that the LCM of 137,409,409,355 is 19891715.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 137, 409, 409, 355?
Answer: LCM of 137, 409, 409, 355 is 19891715.
2. How to calculate the LCM of 137, 409, 409, 355?
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 137, 409, 409, 355.
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}.