LCM of 654, 134, 975, 663, 127
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 134, 975, 663, 127 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 654, 134, 975, 663, 127. So, keep reading to learn more.
Given numbers are 654,134,975,663,127
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,134,975,663,127 is 30745995150.
Find LCM of 654,134,975,663,127 with Prime Factorization
| 2 | 654, 134, 975, 663, 127 |
| 3 | 327, 67, 975, 663, 127 |
| 13 | 109, 67, 325, 221, 127 |
| 109, 67, 25, 17, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 109 x 67 x 25 x 17 x 127 = 30745995150
Therefore, the lowest common multiple of 654,134,975,663,127 is 30745995150.
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.
654 x 134 x 975 x 663 x 127 = 7194562865100
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
134 : 1, 2, 67, 134
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
663 : 1, 3, 13, 17, 39, 51, 221, 663
127 : 1, 127
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,134,975,663,127, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
134:2x 67
975:3x 5x 5x 13
663:3x 13x 17
127:127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 7194562865100/(1x234)
LCM = 7194562865100/234
LCM = 30745995150
Thus, we can understand that the LCM of 654,134,975,663,127 is 30745995150.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 654, 134, 975, 663, 127
1. What is the LCM of 654, 134, 975, 663, 127?
Answer: LCM of 654, 134, 975, 663, 127 is 30745995150.
2. How to calculate the LCM of 654, 134, 975, 663, 127?
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 654, 134, 975, 663, 127.
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}.