Find the LCM of 104, 516, 754, 672 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 104, 516, 754, 672. So, keep reading to learn more.
Given numbers are 104,516,754,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,516,754,672 is 10893792.
Find LCM of 104,516,754,672 with Prime Factorization
2 | 104, 516, 754, 672 |
2 | 52, 258, 377, 336 |
2 | 26, 129, 377, 168 |
3 | 13, 129, 377, 84 |
13 | 13, 43, 377, 28 |
1, 43, 29, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 1 x 43 x 29 x 28 = 10893792
Therefore, the lowest common multiple of 104,516,754,672 is 10893792.
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.
104 x 516 x 754 x 672 = 27190904832
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
754 : 1, 2, 13, 26, 29, 58, 377, 754
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
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,516,754,672, is 2.
Now, the common factors can be found like this.
104:2x 2x 2x 13
516:2x 2x 3x 43
754:2x 13x 29
672:2x 2x 2x 2x 2x 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 2x 2x 2x 3x 13 = 1248
Therefore, the value for common factors is 1248.
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 = 27190904832/(2x1248)
LCM = 27190904832/2496
LCM = 10893792
Thus, we can understand that the LCM of 104,516,754,672 is 10893792.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 104, 516, 754, 672?
Answer: LCM of 104, 516, 754, 672 is 10893792.
2. How to calculate the LCM of 104, 516, 754, 672?
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 104, 516, 754, 672.
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}.