LCM of 979, 123, 588, 762, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 123, 588, 762, 312 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, 123, 588, 762, 312. So, keep reading to learn more.
Given numbers are 979,123,588,762,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,123,588,762,312 is 77932919064.
Find LCM of 979,123,588,762,312 with Prime Factorization
| 2 | 979, 123, 588, 762, 312 |
| 2 | 979, 123, 294, 381, 156 |
| 3 | 979, 123, 147, 381, 78 |
| 979, 41, 49, 127, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 979 x 41 x 49 x 127 x 26 = 77932919064
Therefore, the lowest common multiple of 979,123,588,762,312 is 77932919064.
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 123 x 588 x 762 x 312 = 16833510517824
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
123 : 1, 3, 41, 123
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
762 : 1, 2, 3, 6, 127, 254, 381, 762
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,123,588,762,312, is 1.
Now, the common factors can be found like this.
979:11x 89
123:3x 41
588:2x 2x 3x 7x 7
762:2x 3x 127
312:2x 2x 2x 3x 13
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 3 = 216
Therefore, the value for common factors is 216.
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 = 16833510517824/(1x216)
LCM = 16833510517824/216
LCM = 77932919064
Thus, we can understand that the LCM of 979,123,588,762,312 is 77932919064.
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FAQs on LCM of 979, 123, 588, 762, 312
1. What is the LCM of 979, 123, 588, 762, 312?
Answer: LCM of 979, 123, 588, 762, 312 is 77932919064.
2. How to calculate the LCM of 979, 123, 588, 762, 312?
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, 123, 588, 762, 312.
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}.