LCM of 101, 605, 713, 187, 107
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 101, 605, 713, 187, 107 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 101, 605, 713, 187, 107. So, keep reading to learn more.
Given numbers are 101,605,713,187,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,605,713,187,107 is 79249946435.
Find LCM of 101,605,713,187,107 with Prime Factorization
| 11 | 101, 605, 713, 187, 107 |
| 101, 55, 713, 17, 107 |
Multiply the prime numbers at the bottom and the left side.
11 x 101 x 55 x 713 x 17 x 107 = 79249946435
Therefore, the lowest common multiple of 101,605,713,187,107 is 79249946435.
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.
101 x 605 x 713 x 187 x 107 = 871749410785
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.
101 : 1, 101
605 : 1, 5, 11, 55, 121, 605
713 : 1, 23, 31, 713
187 : 1, 11, 17, 187
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,605,713,187,107, is 1.
Now, the common factors can be found like this.
101:101
605:5x 11x 11
713:23x 31
187:11x 17
107:107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 871749410785/(1x11)
LCM = 871749410785/11
LCM = 79249946435
Thus, we can understand that the LCM of 101,605,713,187,107 is 79249946435.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 101, 605, 713, 187, 107
1. What is the LCM of 101, 605, 713, 187, 107?
Answer: LCM of 101, 605, 713, 187, 107 is 79249946435.
2. How to calculate the LCM of 101, 605, 713, 187, 107?
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 101, 605, 713, 187, 107.
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}.