Find the LCM of 856, 179, 345, 972, 470 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 856, 179, 345, 972, 470. So, keep reading to learn more.
Given numbers are 856,179,345,972,470
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 856,179,345,972,470 is 201246699960.
Find LCM of 856,179,345,972,470 with Prime Factorization
2 | 856, 179, 345, 972, 470 |
2 | 428, 179, 345, 486, 235 |
3 | 214, 179, 345, 243, 235 |
5 | 214, 179, 115, 81, 235 |
214, 179, 23, 81, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 214 x 179 x 23 x 81 x 47 = 201246699960
Therefore, the lowest common multiple of 856,179,345,972,470 is 201246699960.
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.
856 x 179 x 345 x 972 x 470 = 24149603995200
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.
856 : 1, 2, 4, 8, 107, 214, 428, 856
179 : 1, 179
345 : 1, 3, 5, 15, 23, 69, 115, 345
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
470 : 1, 2, 5, 10, 47, 94, 235, 470
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,179,345,972,470, is 1.
Now, the common factors can be found like this.
856:2x 2x 2x 107
179:179
345:3x 5x 23
972:2x 2x 3x 3x 3x 3x 3
470:2x 5x 47
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 24149603995200/(1x120)
LCM = 24149603995200/120
LCM = 201246699960
Thus, we can understand that the LCM of 856,179,345,972,470 is 201246699960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 856, 179, 345, 972, 470?
Answer: LCM of 856, 179, 345, 972, 470 is 201246699960.
2. How to calculate the LCM of 856, 179, 345, 972, 470?
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 856, 179, 345, 972, 470.
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}.