LCM of 116, 841, 722, 703
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 116, 841, 722, 703 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 116, 841, 722, 703. So, keep reading to learn more.
Given numbers are 116,841,722,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,841,722,703 is 44932948.
Find LCM of 116,841,722,703 with Prime Factorization
| 2 | 116, 841, 722, 703 |
| 19 | 58, 841, 361, 703 |
| 29 | 58, 841, 19, 37 |
| 2, 29, 19, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 29 x 2 x 29 x 19 x 37 = 44932948
Therefore, the lowest common multiple of 116,841,722,703 is 44932948.
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.
116 x 841 x 722 x 703 = 49516108696
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.
116 : 1, 2, 4, 29, 58, 116
841 : 1, 29, 841
722 : 1, 2, 19, 38, 361, 722
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,841,722,703, is 1.
Now, the common factors can be found like this.
116:2x 2x 29
841:29x 29
722:2x 19x 19
703:19x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19x 29 = 1102
Therefore, the value for common factors is 1102.
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 = 49516108696/(1x1102)
LCM = 49516108696/1102
LCM = 44932948
Thus, we can understand that the LCM of 116,841,722,703 is 44932948.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 116, 841, 722, 703
1. What is the LCM of 116, 841, 722, 703?
Answer: LCM of 116, 841, 722, 703 is 44932948.
2. How to calculate the LCM of 116, 841, 722, 703?
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 116, 841, 722, 703.
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}.