LCM of 260, 538, 644, 679, 889
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 260, 538, 644, 679, 889 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 260, 538, 644, 679, 889. So, keep reading to learn more.
Given numbers are 260,538,644,679,889
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,538,644,679,889 is 138716128460.
Find LCM of 260,538,644,679,889 with Prime Factorization
| 2 | 260, 538, 644, 679, 889 |
| 2 | 130, 269, 322, 679, 889 |
| 7 | 65, 269, 161, 679, 889 |
| 65, 269, 23, 97, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 65 x 269 x 23 x 97 x 127 = 138716128460
Therefore, the lowest common multiple of 260,538,644,679,889 is 138716128460.
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.
260 x 538 x 644 x 679 x 889 = 54376722356320
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
538 : 1, 2, 269, 538
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
679 : 1, 7, 97, 679
889 : 1, 7, 127, 889
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,538,644,679,889, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
538:2x 269
644:2x 2x 7x 23
679:7x 97
889:7x 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 2x 2x 7x 7 = 392
Therefore, the value for common factors is 392.
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 = 54376722356320/(1x392)
LCM = 54376722356320/392
LCM = 138716128460
Thus, we can understand that the LCM of 260,538,644,679,889 is 138716128460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 260, 538, 644, 679, 889
1. What is the LCM of 260, 538, 644, 679, 889?
Answer: LCM of 260, 538, 644, 679, 889 is 138716128460.
2. How to calculate the LCM of 260, 538, 644, 679, 889?
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 260, 538, 644, 679, 889.
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}.