LCM of 115, 942, 713, 263, 716
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 115, 942, 713, 263, 716 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 115, 942, 713, 263, 716. So, keep reading to learn more.
Given numbers are 115,942,713,263,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,942,713,263,716 is 316190787420.
Find LCM of 115,942,713,263,716 with Prime Factorization
| 2 | 115, 942, 713, 263, 716 |
| 23 | 115, 471, 713, 263, 358 |
| 5, 471, 31, 263, 358 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 5 x 471 x 31 x 263 x 358 = 316190787420
Therefore, the lowest common multiple of 115,942,713,263,716 is 316190787420.
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.
115 x 942 x 713 x 263 x 716 = 14544776221320
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.
115 : 1, 5, 23, 115
942 : 1, 2, 3, 6, 157, 314, 471, 942
713 : 1, 23, 31, 713
263 : 1, 263
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,942,713,263,716, is 1.
Now, the common factors can be found like this.
115:5x 23
942:2x 3x 157
713:23x 31
263:263
716:2x 2x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23 = 46
Therefore, the value for common factors is 46.
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 = 14544776221320/(1x46)
LCM = 14544776221320/46
LCM = 316190787420
Thus, we can understand that the LCM of 115,942,713,263,716 is 316190787420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 115, 942, 713, 263, 716
1. What is the LCM of 115, 942, 713, 263, 716?
Answer: LCM of 115, 942, 713, 263, 716 is 316190787420.
2. How to calculate the LCM of 115, 942, 713, 263, 716?
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 115, 942, 713, 263, 716.
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}.