Find the LCM of 345, 461, 345, 199, 615 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 345, 461, 345, 199, 615. So, keep reading to learn more.
Given numbers are 345,461,345,199,615
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 345,461,345,199,615 is 1297648155.
Find LCM of 345,461,345,199,615 with Prime Factorization
3 | 345, 461, 345, 199, 615 |
5 | 115, 461, 115, 199, 205 |
23 | 23, 461, 23, 199, 41 |
1, 461, 1, 199, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 23 x 1 x 461 x 1 x 199 x 41 = 1297648155
Therefore, the lowest common multiple of 345,461,345,199,615 is 1297648155.
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.
345 x 461 x 345 x 199 x 615 = 6715329202125
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.
345 : 1, 3, 5, 15, 23, 69, 115, 345
461 : 1, 461
345 : 1, 3, 5, 15, 23, 69, 115, 345
199 : 1, 199
615 : 1, 3, 5, 15, 41, 123, 205, 615
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,461,345,199,615, is 1.
Now, the common factors can be found like this.
345:3x 5x 23
461:461
345:3x 5x 23
199:199
615:3x 5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5x 23 = 5175
Therefore, the value for common factors is 5175.
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 = 6715329202125/(1x5175)
LCM = 6715329202125/5175
LCM = 1297648155
Thus, we can understand that the LCM of 345,461,345,199,615 is 1297648155.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 345, 461, 345, 199, 615?
Answer: LCM of 345, 461, 345, 199, 615 is 1297648155.
2. How to calculate the LCM of 345, 461, 345, 199, 615?
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 345, 461, 345, 199, 615.
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}.