Find the LCM of 318, 322, 354, 798, 181 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 318, 322, 354, 798, 181. So, keep reading to learn more.
Given numbers are 318,322,354,798,181
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,322,354,798,181 is 10388125398.
Find LCM of 318,322,354,798,181 with Prime Factorization
2 | 318, 322, 354, 798, 181 |
3 | 159, 161, 177, 399, 181 |
7 | 53, 161, 59, 133, 181 |
53, 23, 59, 19, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 53 x 23 x 59 x 19 x 181 = 10388125398
Therefore, the lowest common multiple of 318,322,354,798,181 is 10388125398.
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.
318 x 322 x 354 x 798 x 181 = 5235615200592
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
322 : 1, 2, 7, 14, 23, 46, 161, 322
354 : 1, 2, 3, 6, 59, 118, 177, 354
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
181 : 1, 181
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,322,354,798,181, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
322:2x 7x 23
354:2x 3x 59
798:2x 3x 7x 19
181:181
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 3x 3x 7 = 504
Therefore, the value for common factors is 504.
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 = 5235615200592/(1x504)
LCM = 5235615200592/504
LCM = 10388125398
Thus, we can understand that the LCM of 318,322,354,798,181 is 10388125398.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 318, 322, 354, 798, 181?
Answer: LCM of 318, 322, 354, 798, 181 is 10388125398.
2. How to calculate the LCM of 318, 322, 354, 798, 181?
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 318, 322, 354, 798, 181.
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}.