Find the LCM of 979, 316, 890, 762, 796 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 979, 316, 890, 762, 796. So, keep reading to learn more.
Given numbers are 979,316,890,762,796
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,316,890,762,796 is 117278345580.
Find LCM of 979,316,890,762,796 with Prime Factorization
2 | 979, 316, 890, 762, 796 |
2 | 979, 158, 445, 381, 398 |
89 | 979, 79, 445, 381, 199 |
11, 79, 5, 381, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 89 x 11 x 79 x 5 x 381 x 199 = 117278345580
Therefore, the lowest common multiple of 979,316,890,762,796 is 117278345580.
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.
979 x 316 x 890 x 762 x 796 = 167004364105920
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.
979 : 1, 11, 89, 979
316 : 1, 2, 4, 79, 158, 316
890 : 1, 2, 5, 10, 89, 178, 445, 890
762 : 1, 2, 3, 6, 127, 254, 381, 762
796 : 1, 2, 4, 199, 398, 796
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,316,890,762,796, is 1.
Now, the common factors can be found like this.
979:11x 89
316:2x 2x 79
890:2x 5x 89
762:2x 3x 127
796:2x 2x 199
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 89 = 1424
Therefore, the value for common factors is 1424.
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 = 167004364105920/(1x1424)
LCM = 167004364105920/1424
LCM = 117278345580
Thus, we can understand that the LCM of 979,316,890,762,796 is 117278345580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 979, 316, 890, 762, 796?
Answer: LCM of 979, 316, 890, 762, 796 is 117278345580.
2. How to calculate the LCM of 979, 316, 890, 762, 796?
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 979, 316, 890, 762, 796.
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}.