LCM of 194, 543, 873, 967
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 194, 543, 873, 967 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 194, 543, 873, 967. So, keep reading to learn more.
Given numbers are 194,543,873,967
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 194,543,873,967 is 305597142.
Find LCM of 194,543,873,967 with Prime Factorization
| 3 | 194, 543, 873, 967 |
| 97 | 194, 181, 291, 967 |
| 2, 181, 3, 967 |
Multiply the prime numbers at the bottom and the left side.
3 x 97 x 2 x 181 x 3 x 967 = 305597142
Therefore, the lowest common multiple of 194,543,873,967 is 305597142.
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.
194 x 543 x 873 x 967 = 88928768322
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.
194 : 1, 2, 97, 194
543 : 1, 3, 181, 543
873 : 1, 3, 9, 97, 291, 873
967 : 1, 967
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,543,873,967, is 1.
Now, the common factors can be found like this.
194:2x 97
543:3x 181
873:3x 3x 97
967:967
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 97 = 291
Therefore, the value for common factors is 291.
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 = 88928768322/(1x291)
LCM = 88928768322/291
LCM = 305597142
Thus, we can understand that the LCM of 194,543,873,967 is 305597142.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 194, 543, 873, 967
1. What is the LCM of 194, 543, 873, 967?
Answer: LCM of 194, 543, 873, 967 is 305597142.
2. How to calculate the LCM of 194, 543, 873, 967?
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 194, 543, 873, 967.
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}.