Find the LCM of 351, 871, 119, 353 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 351, 871, 119, 353. So, keep reading to learn more.
Given numbers are 351,871,119,353
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 351,871,119,353 is 987878619.
Find LCM of 351,871,119,353 with Prime Factorization
13 | 351, 871, 119, 353 |
27, 67, 119, 353 |
Multiply the prime numbers at the bottom and the left side.
13 x 27 x 67 x 119 x 353 = 987878619
Therefore, the lowest common multiple of 351,871,119,353 is 987878619.
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.
351 x 871 x 119 x 353 = 12842422047
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.
351 : 1, 3, 9, 13, 27, 39, 117, 351
871 : 1, 13, 67, 871
119 : 1, 7, 17, 119
353 : 1, 353
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,871,119,353, is 1.
Now, the common factors can be found like this.
351:3x 3x 3x 13
871:13x 67
119:7x 17
353:353
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 12842422047/(1x13)
LCM = 12842422047/13
LCM = 987878619
Thus, we can understand that the LCM of 351,871,119,353 is 987878619.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 351, 871, 119, 353?
Answer: LCM of 351, 871, 119, 353 is 987878619.
2. How to calculate the LCM of 351, 871, 119, 353?
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 351, 871, 119, 353.
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}.