LCM of 318, 942, 729, 657, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 318, 942, 729, 657, 756 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 318, 942, 729, 657, 756. So, keep reading to learn more.
Given numbers are 318,942,729,657,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,942,729,657,756 is 12398922396.
Find LCM of 318,942,729,657,756 with Prime Factorization
| 2 | 318, 942, 729, 657, 756 |
| 3 | 159, 471, 729, 657, 378 |
| 3 | 53, 157, 243, 219, 126 |
| 3 | 53, 157, 81, 73, 42 |
| 53, 157, 27, 73, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 53 x 157 x 27 x 73 x 14 = 12398922396
Therefore, the lowest common multiple of 318,942,729,657,756 is 12398922396.
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.
318 x 942 x 729 x 657 x 756 = 108465773120208
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
942 : 1, 2, 3, 6, 157, 314, 471, 942
729 : 1, 3, 9, 27, 81, 243, 729
657 : 1, 3, 9, 73, 219, 657
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,942,729,657,756, is 3.
Now, the common factors can be found like this.
318:2x 3x 53
942:2x 3x 157
729:3x 3x 3x 3x 3x 3
657:3x 3x 73
756:2x 2x 3x 3x 3x 7
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 3x 3x 3x 3x 3x 3 = 2916
Therefore, the value for common factors is 2916.
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 = 108465773120208/(3x2916)
LCM = 108465773120208/8748
LCM = 12398922396
Thus, we can understand that the LCM of 318,942,729,657,756 is 12398922396.
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FAQs on LCM of 318, 942, 729, 657, 756
1. What is the LCM of 318, 942, 729, 657, 756?
Answer: LCM of 318, 942, 729, 657, 756 is 12398922396.
2. How to calculate the LCM of 318, 942, 729, 657, 756?
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 318, 942, 729, 657, 756.
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}.