Find the LCM of 798, 302, 818, 343, 155 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 798, 302, 818, 343, 155. So, keep reading to learn more.
Given numbers are 798,302,818,343,155
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 798,302,818,343,155 is 374309564790.
Find LCM of 798,302,818,343,155 with Prime Factorization
2 | 798, 302, 818, 343, 155 |
7 | 399, 151, 409, 343, 155 |
57, 151, 409, 49, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 57 x 151 x 409 x 49 x 155 = 374309564790
Therefore, the lowest common multiple of 798,302,818,343,155 is 374309564790.
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.
798 x 302 x 818 x 343 x 155 = 10480667814120
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.
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
302 : 1, 2, 151, 302
818 : 1, 2, 409, 818
343 : 1, 7, 49, 343
155 : 1, 5, 31, 155
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,302,818,343,155, is 1.
Now, the common factors can be found like this.
798:2x 3x 7x 19
302:2x 151
818:2x 409
343:7x 7x 7
155:5x 31
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 7 = 28
Therefore, the value for common factors is 28.
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 = 10480667814120/(1x28)
LCM = 10480667814120/28
LCM = 374309564790
Thus, we can understand that the LCM of 798,302,818,343,155 is 374309564790.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 798, 302, 818, 343, 155?
Answer: LCM of 798, 302, 818, 343, 155 is 374309564790.
2. How to calculate the LCM of 798, 302, 818, 343, 155?
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 798, 302, 818, 343, 155.
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}.