Find the LCM of 646, 475, 190, 727, 972 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 646, 475, 190, 727, 972. So, keep reading to learn more.
Given numbers are 646,475,190,727,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,475,190,727,972 is 5706150300.
Find LCM of 646,475,190,727,972 with Prime Factorization
2 | 646, 475, 190, 727, 972 |
5 | 323, 475, 95, 727, 486 |
19 | 323, 19, 95, 727, 486 |
17, 1, 5, 727, 486 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 17 x 1 x 5 x 727 x 486 = 5706150300
Therefore, the lowest common multiple of 646,475,190,727,972 is 5706150300.
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.
646 x 475 x 190 x 727 x 972 = 41198405166000
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.
646 : 1, 2, 17, 19, 34, 38, 323, 646
475 : 1, 5, 19, 25, 95, 475
190 : 1, 2, 5, 10, 19, 38, 95, 190
727 : 1, 727
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,475,190,727,972, is 1.
Now, the common factors can be found like this.
646:2x 17x 19
475:5x 5x 19
190:2x 5x 19
727:727
972:2x 2x 3x 3x 3x 3x 3
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 5x 19x 19 = 7220
Therefore, the value for common factors is 7220.
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 = 41198405166000/(1x7220)
LCM = 41198405166000/7220
LCM = 5706150300
Thus, we can understand that the LCM of 646,475,190,727,972 is 5706150300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 646, 475, 190, 727, 972?
Answer: LCM of 646, 475, 190, 727, 972 is 5706150300.
2. How to calculate the LCM of 646, 475, 190, 727, 972?
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 646, 475, 190, 727, 972.
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}.