Find the LCM of 125, 672, 840, 116, 650 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 125, 672, 840, 116, 650. So, keep reading to learn more.
Given numbers are 125,672,840,116,650
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 125,672,840,116,650 is 31668000.
Find LCM of 125,672,840,116,650 with Prime Factorization
2 | 125, 672, 840, 116, 650 |
2 | 125, 336, 420, 58, 325 |
2 | 125, 168, 210, 29, 325 |
3 | 125, 84, 105, 29, 325 |
5 | 125, 28, 35, 29, 325 |
5 | 25, 28, 7, 29, 65 |
7 | 5, 28, 7, 29, 13 |
5, 4, 1, 29, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 5 x 7 x 5 x 4 x 1 x 29 x 13 = 31668000
Therefore, the lowest common multiple of 125,672,840,116,650 is 31668000.
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.
125 x 672 x 840 x 116 x 650 = 5320224000000
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.
125 : 1, 5, 25, 125
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
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
116 : 1, 2, 4, 29, 58, 116
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,672,840,116,650, is 1.
Now, the common factors can be found like this.
125:5x 5x 5
672:2x 2x 2x 2x 2x 3x 7
840:2x 2x 2x 3x 5x 7
116:2x 2x 29
650:2x 5x 5x 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 3x 5x 5x 5x 7 = 168000
Therefore, the value for common factors is 168000.
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 = 5320224000000/(1x168000)
LCM = 5320224000000/168000
LCM = 31668000
Thus, we can understand that the LCM of 125,672,840,116,650 is 31668000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 125, 672, 840, 116, 650?
Answer: LCM of 125, 672, 840, 116, 650 is 31668000.
2. How to calculate the LCM of 125, 672, 840, 116, 650?
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 125, 672, 840, 116, 650.
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}.