Find the LCM of 661, 565, 393, 315, 798 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 661, 565, 393, 315, 798. So, keep reading to learn more.
Given numbers are 661,565,393,315,798
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 661,565,393,315,798 is 117123852510.
Find LCM of 661,565,393,315,798 with Prime Factorization
3 | 661, 565, 393, 315, 798 |
5 | 661, 565, 131, 105, 266 |
7 | 661, 113, 131, 21, 266 |
661, 113, 131, 3, 38 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 661 x 113 x 131 x 3 x 38 = 117123852510
Therefore, the lowest common multiple of 661,565,393,315,798 is 117123852510.
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.
661 x 565 x 393 x 315 x 798 = 36894013540650
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.
661 : 1, 661
565 : 1, 5, 113, 565
393 : 1, 3, 131, 393
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,565,393,315,798, is 1.
Now, the common factors can be found like this.
661:661
565:5x 113
393:3x 131
315:3x 3x 5x 7
798:2x 3x 7x 19
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 7 = 315
Therefore, the value for common factors is 315.
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 = 36894013540650/(1x315)
LCM = 36894013540650/315
LCM = 117123852510
Thus, we can understand that the LCM of 661,565,393,315,798 is 117123852510.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 661, 565, 393, 315, 798?
Answer: LCM of 661, 565, 393, 315, 798 is 117123852510.
2. How to calculate the LCM of 661, 565, 393, 315, 798?
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 661, 565, 393, 315, 798.
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}.