LCM of 105, 169, 262, 762, 611
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 169, 262, 762, 611 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 105, 169, 262, 762, 611. So, keep reading to learn more.
Given numbers are 105,169,262,762,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,169,262,762,611 is 27751015110.
Find LCM of 105,169,262,762,611 with Prime Factorization
| 2 | 105, 169, 262, 762, 611 |
| 3 | 105, 169, 131, 381, 611 |
| 13 | 35, 169, 131, 127, 611 |
| 35, 13, 131, 127, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 35 x 13 x 131 x 127 x 47 = 27751015110
Therefore, the lowest common multiple of 105,169,262,762,611 is 27751015110.
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.
105 x 169 x 262 x 762 x 611 = 2164579178580
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
169 : 1, 13, 169
262 : 1, 2, 131, 262
762 : 1, 2, 3, 6, 127, 254, 381, 762
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,169,262,762,611, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
169:13x 13
262:2x 131
762:2x 3x 127
611:13x 47
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 13 = 78
Therefore, the value for common factors is 78.
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 = 2164579178580/(1x78)
LCM = 2164579178580/78
LCM = 27751015110
Thus, we can understand that the LCM of 105,169,262,762,611 is 27751015110.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 105, 169, 262, 762, 611
1. What is the LCM of 105, 169, 262, 762, 611?
Answer: LCM of 105, 169, 262, 762, 611 is 27751015110.
2. How to calculate the LCM of 105, 169, 262, 762, 611?
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 105, 169, 262, 762, 611.
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}.