Find the LCM of 144, 672, 879, 963, 735 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 144, 672, 879, 963, 735. So, keep reading to learn more.
Given numbers are 144,672,879,963,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,672,879,963,735 is 2212126560.
Find LCM of 144,672,879,963,735 with Prime Factorization
2 | 144, 672, 879, 963, 735 |
2 | 72, 336, 879, 963, 735 |
2 | 36, 168, 879, 963, 735 |
2 | 18, 84, 879, 963, 735 |
3 | 9, 42, 879, 963, 735 |
3 | 3, 14, 293, 321, 245 |
7 | 1, 14, 293, 107, 245 |
1, 2, 293, 107, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 7 x 1 x 2 x 293 x 107 x 35 = 2212126560
Therefore, the lowest common multiple of 144,672,879,963,735 is 2212126560.
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.
144 x 672 x 879 x 963 x 735 = 60205236456960
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
879 : 1, 3, 293, 879
963 : 1, 3, 9, 107, 321, 963
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,672,879,963,735, is 3.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
672:2x 2x 2x 2x 2x 3x 7
879:3x 293
963:3x 3x 107
735:3x 5x 7x 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 2x 2x 3x 3x 3x 3x 7 = 9072
Therefore, the value for common factors is 9072.
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 = 60205236456960/(3x9072)
LCM = 60205236456960/27216
LCM = 2212126560
Thus, we can understand that the LCM of 144,672,879,963,735 is 2212126560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 144, 672, 879, 963, 735?
Answer: LCM of 144, 672, 879, 963, 735 is 2212126560.
2. How to calculate the LCM of 144, 672, 879, 963, 735?
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 144, 672, 879, 963, 735.
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}.