LCM of 131, 248, 543, 744, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 131, 248, 543, 744, 949 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 131, 248, 543, 744, 949. So, keep reading to learn more.
Given numbers are 131,248,543,744,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 131,248,543,744,949 is 16741293816.
Find LCM of 131,248,543,744,949 with Prime Factorization
| 2 | 131, 248, 543, 744, 949 |
| 2 | 131, 124, 543, 372, 949 |
| 2 | 131, 62, 543, 186, 949 |
| 3 | 131, 31, 543, 93, 949 |
| 31 | 131, 31, 181, 31, 949 |
| 131, 1, 181, 1, 949 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 31 x 131 x 1 x 181 x 1 x 949 = 16741293816
Therefore, the lowest common multiple of 131,248,543,744,949 is 16741293816.
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.
131 x 248 x 543 x 744 x 949 = 12455522599104
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.
131 : 1, 131
248 : 1, 2, 4, 8, 31, 62, 124, 248
543 : 1, 3, 181, 543
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,248,543,744,949, is 1.
Now, the common factors can be found like this.
131:131
248:2x 2x 2x 31
543:3x 181
744:2x 2x 2x 3x 31
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 31 = 744
Therefore, the value for common factors is 744.
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 = 12455522599104/(1x744)
LCM = 12455522599104/744
LCM = 16741293816
Thus, we can understand that the LCM of 131,248,543,744,949 is 16741293816.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 131, 248, 543, 744, 949
1. What is the LCM of 131, 248, 543, 744, 949?
Answer: LCM of 131, 248, 543, 744, 949 is 16741293816.
2. How to calculate the LCM of 131, 248, 543, 744, 949?
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 131, 248, 543, 744, 949.
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}.