LCM of 654, 267, 979, 681, 877
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 267, 979, 681, 877 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, 267, 979, 681, 877. So, keep reading to learn more.
Given numbers are 654,267,979,681,877
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,267,979,681,877 is 127463515014.
Find LCM of 654,267,979,681,877 with Prime Factorization
| 3 | 654, 267, 979, 681, 877 |
| 89 | 218, 89, 979, 227, 877 |
| 218, 1, 11, 227, 877 |
Multiply the prime numbers at the bottom and the left side.
3 x 89 x 218 x 1 x 11 x 227 x 877 = 127463515014
Therefore, the lowest common multiple of 654,267,979,681,877 is 127463515014.
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 267 x 979 x 681 x 877 = 102098275526214
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
267 : 1, 3, 89, 267
979 : 1, 11, 89, 979
681 : 1, 3, 227, 681
877 : 1, 877
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,267,979,681,877, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
267:3x 89
979:11x 89
681:3x 227
877:877
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 89 = 801
Therefore, the value for common factors is 801.
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 = 102098275526214/(1x801)
LCM = 102098275526214/801
LCM = 127463515014
Thus, we can understand that the LCM of 654,267,979,681,877 is 127463515014.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 654, 267, 979, 681, 877
1. What is the LCM of 654, 267, 979, 681, 877?
Answer: LCM of 654, 267, 979, 681, 877 is 127463515014.
2. How to calculate the LCM of 654, 267, 979, 681, 877?
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, 267, 979, 681, 877.
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}.