Find the LCM of 921, 901, 345, 621, 369 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 921, 901, 345, 621, 369. So, keep reading to learn more.
Given numbers are 921,901,345,621,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 921,901,345,621,369 is 35213454135.
Find LCM of 921,901,345,621,369 with Prime Factorization
3 | 921, 901, 345, 621, 369 |
3 | 307, 901, 115, 207, 123 |
23 | 307, 901, 115, 69, 41 |
307, 901, 5, 3, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 23 x 307 x 901 x 5 x 3 x 41 = 35213454135
Therefore, the lowest common multiple of 921,901,345,621,369 is 35213454135.
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.
921 x 901 x 345 x 621 x 369 = 65602665053505
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.
921 : 1, 3, 307, 921
901 : 1, 17, 53, 901
345 : 1, 3, 5, 15, 23, 69, 115, 345
621 : 1, 3, 9, 23, 27, 69, 207, 621
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,901,345,621,369, is 1.
Now, the common factors can be found like this.
921:3x 307
901:17x 53
345:3x 5x 23
621:3x 3x 3x 23
369:3x 3x 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 3x 3x 23 = 1863
Therefore, the value for common factors is 1863.
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 = 65602665053505/(1x1863)
LCM = 65602665053505/1863
LCM = 35213454135
Thus, we can understand that the LCM of 921,901,345,621,369 is 35213454135.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 921, 901, 345, 621, 369?
Answer: LCM of 921, 901, 345, 621, 369 is 35213454135.
2. How to calculate the LCM of 921, 901, 345, 621, 369?
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 921, 901, 345, 621, 369.
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}.