Find the LCM of 635, 387, 301, 780, 393 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 635, 387, 301, 780, 393. So, keep reading to learn more.
Given numbers are 635,387,301,780,393
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,387,301,780,393 is 11718104580.
Find LCM of 635,387,301,780,393 with Prime Factorization
3 | 635, 387, 301, 780, 393 |
5 | 635, 129, 301, 260, 131 |
43 | 127, 129, 301, 52, 131 |
127, 3, 7, 52, 131 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 43 x 127 x 3 x 7 x 52 x 131 = 11718104580
Therefore, the lowest common multiple of 635,387,301,780,393 is 11718104580.
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.
635 x 387 x 301 x 780 x 393 = 22674532362300
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.
635 : 1, 5, 127, 635
387 : 1, 3, 9, 43, 129, 387
301 : 1, 7, 43, 301
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
393 : 1, 3, 131, 393
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,387,301,780,393, is 1.
Now, the common factors can be found like this.
635:5x 127
387:3x 3x 43
301:7x 43
780:2x 2x 3x 5x 13
393:3x 131
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 43 = 1935
Therefore, the value for common factors is 1935.
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 = 22674532362300/(1x1935)
LCM = 22674532362300/1935
LCM = 11718104580
Thus, we can understand that the LCM of 635,387,301,780,393 is 11718104580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 635, 387, 301, 780, 393?
Answer: LCM of 635, 387, 301, 780, 393 is 11718104580.
2. How to calculate the LCM of 635, 387, 301, 780, 393?
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 635, 387, 301, 780, 393.
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}.