Find the LCM of 392, 897, 680, 850 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, 897, 680, 850. So, keep reading to learn more.
Given numbers are 392,897,680,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,897,680,850 is 149440200.
Find LCM of 392,897,680,850 with Prime Factorization
2 | 392, 897, 680, 850 |
2 | 196, 897, 340, 425 |
2 | 98, 897, 170, 425 |
5 | 49, 897, 85, 425 |
17 | 49, 897, 17, 85 |
49, 897, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 17 x 49 x 897 x 1 x 5 = 149440200
Therefore, the lowest common multiple of 392,897,680,850 is 149440200.
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 897 x 680 x 850 = 203238672000
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
897 : 1, 3, 13, 23, 39, 69, 299, 897
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,897,680,850, is 1.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
897:3x 13x 23
680:2x 2x 2x 5x 17
850:2x 5x 5x 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 2x 5x 17 = 1360
Therefore, the value for common factors is 1360.
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 = 203238672000/(1x1360)
LCM = 203238672000/1360
LCM = 149440200
Thus, we can understand that the LCM of 392,897,680,850 is 149440200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 392, 897, 680, 850?
Answer: LCM of 392, 897, 680, 850 is 149440200.
2. How to calculate the LCM of 392, 897, 680, 850?
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, 897, 680, 850.
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}.