Find the LCM of 780, 598, 939, 274, 160 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 780, 598, 939, 274, 160. So, keep reading to learn more.
Given numbers are 780,598,939,274,160
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,598,939,274,160 is 6154281120.
Find LCM of 780,598,939,274,160 with Prime Factorization
2 | 780, 598, 939, 274, 160 |
2 | 390, 299, 939, 137, 80 |
3 | 195, 299, 939, 137, 40 |
5 | 65, 299, 313, 137, 40 |
13 | 13, 299, 313, 137, 8 |
1, 23, 313, 137, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 1 x 23 x 313 x 137 x 8 = 6154281120
Therefore, the lowest common multiple of 780,598,939,274,160 is 6154281120.
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.
780 x 598 x 939 x 274 x 160 = 19201357094400
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.
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
598 : 1, 2, 13, 23, 26, 46, 299, 598
939 : 1, 3, 313, 939
274 : 1, 2, 137, 274
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,598,939,274,160, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
598:2x 13x 23
939:3x 313
274:2x 137
160:2x 2x 2x 2x 2x 5
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 3x 5x 13 = 3120
Therefore, the value for common factors is 3120.
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 = 19201357094400/(1x3120)
LCM = 19201357094400/3120
LCM = 6154281120
Thus, we can understand that the LCM of 780,598,939,274,160 is 6154281120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 780, 598, 939, 274, 160?
Answer: LCM of 780, 598, 939, 274, 160 is 6154281120.
2. How to calculate the LCM of 780, 598, 939, 274, 160?
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 780, 598, 939, 274, 160.
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}.