Find the LCM of 939, 692, 820, 555, 714 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 939, 692, 820, 555, 714. So, keep reading to learn more.
Given numbers are 939,692,820,555,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,692,820,555,714 is 586508395620.
Find LCM of 939,692,820,555,714 with Prime Factorization
2 | 939, 692, 820, 555, 714 |
2 | 939, 346, 410, 555, 357 |
3 | 939, 173, 205, 555, 357 |
5 | 313, 173, 205, 185, 119 |
313, 173, 41, 37, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 313 x 173 x 41 x 37 x 119 = 586508395620
Therefore, the lowest common multiple of 939,692,820,555,714 is 586508395620.
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.
939 x 692 x 820 x 555 x 714 = 211143022423200
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.
939 : 1, 3, 313, 939
692 : 1, 2, 4, 173, 346, 692
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
555 : 1, 3, 5, 15, 37, 111, 185, 555
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,692,820,555,714, is 1.
Now, the common factors can be found like this.
939:3x 313
692:2x 2x 173
820:2x 2x 5x 41
555:3x 5x 37
714:2x 3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 211143022423200/(1x360)
LCM = 211143022423200/360
LCM = 586508395620
Thus, we can understand that the LCM of 939,692,820,555,714 is 586508395620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 939, 692, 820, 555, 714?
Answer: LCM of 939, 692, 820, 555, 714 is 586508395620.
2. How to calculate the LCM of 939, 692, 820, 555, 714?
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 939, 692, 820, 555, 714.
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}.