LCM of 176, 887, 674, 268, 938
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 176, 887, 674, 268, 938 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 176, 887, 674, 268, 938. So, keep reading to learn more.
Given numbers are 176,887,674,268,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 176,887,674,268,938 is 24673969936.
Find LCM of 176,887,674,268,938 with Prime Factorization
| 2 | 176, 887, 674, 268, 938 |
| 2 | 88, 887, 337, 134, 469 |
| 67 | 44, 887, 337, 67, 469 |
| 44, 887, 337, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 67 x 44 x 887 x 337 x 1 x 7 = 24673969936
Therefore, the lowest common multiple of 176,887,674,268,938 is 24673969936.
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.
176 x 887 x 674 x 268 x 938 = 26450495771392
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.
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
887 : 1, 887
674 : 1, 2, 337, 674
268 : 1, 2, 4, 67, 134, 268
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 176,887,674,268,938, is 1.
Now, the common factors can be found like this.
176:2x 2x 2x 2x 11
887:887
674:2x 337
268:2x 2x 67
938:2x 7x 67
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 2x 67 = 1072
Therefore, the value for common factors is 1072.
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 = 26450495771392/(1x1072)
LCM = 26450495771392/1072
LCM = 24673969936
Thus, we can understand that the LCM of 176,887,674,268,938 is 24673969936.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 176, 887, 674, 268, 938
1. What is the LCM of 176, 887, 674, 268, 938?
Answer: LCM of 176, 887, 674, 268, 938 is 24673969936.
2. How to calculate the LCM of 176, 887, 674, 268, 938?
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 176, 887, 674, 268, 938.
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}.