Find the LCM of 392, 835, 689, 377 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 392, 835, 689, 377. So, keep reading to learn more.
Given numbers are 392,835,689,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,835,689,377 is 6540180920.
Find LCM of 392,835,689,377 with Prime Factorization
13 | 392, 835, 689, 377 |
392, 835, 53, 29 |
Multiply the prime numbers at the bottom and the left side.
13 x 392 x 835 x 53 x 29 = 6540180920
Therefore, the lowest common multiple of 392,835,689,377 is 6540180920.
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.
392 x 835 x 689 x 377 = 85022351960
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.
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
835 : 1, 5, 167, 835
689 : 1, 13, 53, 689
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,835,689,377, is 1.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
835:5x 167
689:13x 53
377:13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 85022351960/(1x13)
LCM = 85022351960/13
LCM = 6540180920
Thus, we can understand that the LCM of 392,835,689,377 is 6540180920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 392, 835, 689, 377?
Answer: LCM of 392, 835, 689, 377 is 6540180920.
2. How to calculate the LCM of 392, 835, 689, 377?
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 392, 835, 689, 377.
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}.