Find the LCM of 361, 206, 602, 437, 965 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 361, 206, 602, 437, 965. So, keep reading to learn more.
Given numbers are 361,206,602,437,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,206,602,437,965 is 496816564370.
Find LCM of 361,206,602,437,965 with Prime Factorization
2 | 361, 206, 602, 437, 965 |
19 | 361, 103, 301, 437, 965 |
19, 103, 301, 23, 965 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 19 x 103 x 301 x 23 x 965 = 496816564370
Therefore, the lowest common multiple of 361,206,602,437,965 is 496816564370.
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.
361 x 206 x 602 x 437 x 965 = 18879029446060
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.
361 : 1, 19, 361
206 : 1, 2, 103, 206
602 : 1, 2, 7, 14, 43, 86, 301, 602
437 : 1, 19, 23, 437
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,206,602,437,965, is 1.
Now, the common factors can be found like this.
361:19x 19
206:2x 103
602:2x 7x 43
437:19x 23
965:5x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 18879029446060/(1x38)
LCM = 18879029446060/38
LCM = 496816564370
Thus, we can understand that the LCM of 361,206,602,437,965 is 496816564370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 361, 206, 602, 437, 965?
Answer: LCM of 361, 206, 602, 437, 965 is 496816564370.
2. How to calculate the LCM of 361, 206, 602, 437, 965?
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 361, 206, 602, 437, 965.
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}.