LCM of 262, 268, 377, 667, 653
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 268, 377, 667, 653 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 262, 268, 377, 667, 653. So, keep reading to learn more.
Given numbers are 262,268,377,667,653
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,268,377,667,653 is 198787218604.
Find LCM of 262,268,377,667,653 with Prime Factorization
| 2 | 262, 268, 377, 667, 653 |
| 29 | 131, 134, 377, 667, 653 |
| 131, 134, 13, 23, 653 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 131 x 134 x 13 x 23 x 653 = 198787218604
Therefore, the lowest common multiple of 262,268,377,667,653 is 198787218604.
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.
262 x 268 x 377 x 667 x 653 = 11529658679032
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.
262 : 1, 2, 131, 262
268 : 1, 2, 4, 67, 134, 268
377 : 1, 13, 29, 377
667 : 1, 23, 29, 667
653 : 1, 653
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,268,377,667,653, is 1.
Now, the common factors can be found like this.
262:2x 131
268:2x 2x 67
377:13x 29
667:23x 29
653:653
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 29 = 58
Therefore, the value for common factors is 58.
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 = 11529658679032/(1x58)
LCM = 11529658679032/58
LCM = 198787218604
Thus, we can understand that the LCM of 262,268,377,667,653 is 198787218604.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 262, 268, 377, 667, 653
1. What is the LCM of 262, 268, 377, 667, 653?
Answer: LCM of 262, 268, 377, 667, 653 is 198787218604.
2. How to calculate the LCM of 262, 268, 377, 667, 653?
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 262, 268, 377, 667, 653.
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}.