LCM of 627, 209, 792, 380, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 209, 792, 380, 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 627, 209, 792, 380, 972. So, keep reading to learn more.
Given numbers are 627,209,792,380,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,209,792,380,972 is 2031480.
Find LCM of 627,209,792,380,972 with Prime Factorization
| 2 | 627, 209, 792, 380, 972 |
| 2 | 627, 209, 396, 190, 486 |
| 3 | 627, 209, 198, 95, 243 |
| 3 | 209, 209, 66, 95, 81 |
| 11 | 209, 209, 22, 95, 27 |
| 19 | 19, 19, 2, 95, 27 |
| 1, 1, 2, 5, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 19 x 1 x 1 x 2 x 5 x 27 = 2031480
Therefore, the lowest common multiple of 627,209,792,380,972 is 2031480.
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.
627 x 209 x 792 x 380 x 972 = 38334417644160
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
209 : 1, 11, 19, 209
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
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 627,209,792,380,972, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
209:11x 19
792:2x 2x 2x 3x 3x 11
380:2x 2x 5x 19
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 2x 2x 3x 3x 3x 11x 11x 19x 19 = 18870192
Therefore, the value for common factors is 18870192.
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 = 38334417644160/(1x18870192)
LCM = 38334417644160/18870192
LCM = 2031480
Thus, we can understand that the LCM of 627,209,792,380,972 is 2031480.
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FAQs on LCM of 627, 209, 792, 380, 972
1. What is the LCM of 627, 209, 792, 380, 972?
Answer: LCM of 627, 209, 792, 380, 972 is 2031480.
2. How to calculate the LCM of 627, 209, 792, 380, 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 627, 209, 792, 380, 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}.