LCM of 188, 767, 715, 406, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 188, 767, 715, 406, 735 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 188, 767, 715, 406, 735. So, keep reading to learn more.
Given numbers are 188,767,715,406,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,767,715,406,735 is 33808915140.
Find LCM of 188,767,715,406,735 with Prime Factorization
| 2 | 188, 767, 715, 406, 735 |
| 5 | 94, 767, 715, 203, 735 |
| 7 | 94, 767, 143, 203, 147 |
| 13 | 94, 767, 143, 29, 21 |
| 94, 59, 11, 29, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 13 x 94 x 59 x 11 x 29 x 21 = 33808915140
Therefore, the lowest common multiple of 188,767,715,406,735 is 33808915140.
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.
188 x 767 x 715 x 406 x 735 = 30766112777400
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.
188 : 1, 2, 4, 47, 94, 188
767 : 1, 13, 59, 767
715 : 1, 5, 11, 13, 55, 65, 143, 715
406 : 1, 2, 7, 14, 29, 58, 203, 406
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,767,715,406,735, is 1.
Now, the common factors can be found like this.
188:2x 2x 47
767:13x 59
715:5x 11x 13
406:2x 7x 29
735:3x 5x 7x 7
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 7x 13 = 910
Therefore, the value for common factors is 910.
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 = 30766112777400/(1x910)
LCM = 30766112777400/910
LCM = 33808915140
Thus, we can understand that the LCM of 188,767,715,406,735 is 33808915140.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 188, 767, 715, 406, 735
1. What is the LCM of 188, 767, 715, 406, 735?
Answer: LCM of 188, 767, 715, 406, 735 is 33808915140.
2. How to calculate the LCM of 188, 767, 715, 406, 735?
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 188, 767, 715, 406, 735.
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}.