LCM of 948, 636, 720, 789, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 948, 636, 720, 789, 936 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 948, 636, 720, 789, 936. So, keep reading to learn more.
Given numbers are 948,636,720,789,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,636,720,789,936 is 10307054160.
Find LCM of 948,636,720,789,936 with Prime Factorization
| 2 | 948, 636, 720, 789, 936 |
| 2 | 474, 318, 360, 789, 468 |
| 2 | 237, 159, 180, 789, 234 |
| 3 | 237, 159, 90, 789, 117 |
| 3 | 79, 53, 30, 263, 39 |
| 79, 53, 10, 263, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 79 x 53 x 10 x 263 x 13 = 10307054160
Therefore, the lowest common multiple of 948,636,720,789,936 is 10307054160.
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.
948 x 636 x 720 x 789 x 936 = 320590612592640
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.
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
789 : 1, 3, 263, 789
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,636,720,789,936, is 3.
Now, the common factors can be found like this.
948:2x 2x 3x 79
636:2x 2x 3x 53
720:2x 2x 2x 2x 3x 3x 5
789:3x 263
936:2x 2x 2x 3x 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 2x 2x 2x 2x 3x 3x 3x 3 = 10368
Therefore, the value for common factors is 10368.
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 = 320590612592640/(3x10368)
LCM = 320590612592640/31104
LCM = 10307054160
Thus, we can understand that the LCM of 948,636,720,789,936 is 10307054160.
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FAQs on LCM of 948, 636, 720, 789, 936
1. What is the LCM of 948, 636, 720, 789, 936?
Answer: LCM of 948, 636, 720, 789, 936 is 10307054160.
2. How to calculate the LCM of 948, 636, 720, 789, 936?
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 948, 636, 720, 789, 936.
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}.