Find the LCM of 374, 197, 510, 995, 813 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 374, 197, 510, 995, 813. So, keep reading to learn more.
Given numbers are 374,197,510,995,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,197,510,995,813 is 59600712930.
Find LCM of 374,197,510,995,813 with Prime Factorization
2 | 374, 197, 510, 995, 813 |
3 | 187, 197, 255, 995, 813 |
5 | 187, 197, 85, 995, 271 |
17 | 187, 197, 17, 199, 271 |
11, 197, 1, 199, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 11 x 197 x 1 x 199 x 271 = 59600712930
Therefore, the lowest common multiple of 374,197,510,995,813 is 59600712930.
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.
374 x 197 x 510 x 995 x 813 = 30396363594300
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
197 : 1, 197
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
995 : 1, 5, 199, 995
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,197,510,995,813, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
197:197
510:2x 3x 5x 17
995:5x 199
813:3x 271
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 17 = 510
Therefore, the value for common factors is 510.
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 = 30396363594300/(1x510)
LCM = 30396363594300/510
LCM = 59600712930
Thus, we can understand that the LCM of 374,197,510,995,813 is 59600712930.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 374, 197, 510, 995, 813?
Answer: LCM of 374, 197, 510, 995, 813 is 59600712930.
2. How to calculate the LCM of 374, 197, 510, 995, 813?
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 374, 197, 510, 995, 813.
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}.