LCM of 105, 643, 813, 138, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 643, 813, 138, 765 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, 643, 813, 138, 765. So, keep reading to learn more.
Given numbers are 105,643,813,138,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,643,813,138,765 is 42923741490.
Find LCM of 105,643,813,138,765 with Prime Factorization
| 3 | 105, 643, 813, 138, 765 |
| 5 | 35, 643, 271, 46, 255 |
| 7, 643, 271, 46, 51 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 643 x 271 x 46 x 51 = 42923741490
Therefore, the lowest common multiple of 105,643,813,138,765 is 42923741490.
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 643 x 813 x 138 x 765 = 5794705101150
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
643 : 1, 643
813 : 1, 3, 271, 813
138 : 1, 2, 3, 6, 23, 46, 69, 138
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,643,813,138,765, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
643:643
813:3x 271
138:2x 3x 23
765:3x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 5794705101150/(1x135)
LCM = 5794705101150/135
LCM = 42923741490
Thus, we can understand that the LCM of 105,643,813,138,765 is 42923741490.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 105, 643, 813, 138, 765
1. What is the LCM of 105, 643, 813, 138, 765?
Answer: LCM of 105, 643, 813, 138, 765 is 42923741490.
2. How to calculate the LCM of 105, 643, 813, 138, 765?
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, 643, 813, 138, 765.
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}.