LCM of 269, 655, 169, 130, 558
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 655, 169, 130, 558 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 269, 655, 169, 130, 558. So, keep reading to learn more.
Given numbers are 269,655,169,130,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,655,169,130,558 is 16615540890.
Find LCM of 269,655,169,130,558 with Prime Factorization
| 2 | 269, 655, 169, 130, 558 |
| 5 | 269, 655, 169, 65, 279 |
| 13 | 269, 131, 169, 13, 279 |
| 269, 131, 1, 13, 279 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 269 x 131 x 1 x 13 x 279 = 16615540890
Therefore, the lowest common multiple of 269,655,169,130,558 is 16615540890.
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.
269 x 655 x 169 x 130 x 558 = 2160020315700
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.
269 : 1, 269
655 : 1, 5, 131, 655
169 : 1, 13, 169
130 : 1, 2, 5, 10, 13, 26, 65, 130
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,655,169,130,558, is 1.
Now, the common factors can be found like this.
269:269
655:5x 131
169:13x 13
130:2x 5x 13
558:2x 3x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13 = 130
Therefore, the value for common factors is 130.
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 = 2160020315700/(1x130)
LCM = 2160020315700/130
LCM = 16615540890
Thus, we can understand that the LCM of 269,655,169,130,558 is 16615540890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 269, 655, 169, 130, 558
1. What is the LCM of 269, 655, 169, 130, 558?
Answer: LCM of 269, 655, 169, 130, 558 is 16615540890.
2. How to calculate the LCM of 269, 655, 169, 130, 558?
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 269, 655, 169, 130, 558.
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}.