LCM of 967, 289, 867, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 289, 867, 749 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 967, 289, 867, 749. So, keep reading to learn more.
Given numbers are 967,289,867,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,289,867,749 is 627953361.
Find LCM of 967,289,867,749 with Prime Factorization
| 17 | 967, 289, 867, 749 |
| 17 | 967, 17, 51, 749 |
| 967, 1, 3, 749 |
Multiply the prime numbers at the bottom and the left side.
17 x 17 x 967 x 1 x 3 x 749 = 627953361
Therefore, the lowest common multiple of 967,289,867,749 is 627953361.
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.
967 x 289 x 867 x 749 = 181478521329
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.
967 : 1, 967
289 : 1, 17, 289
867 : 1, 3, 17, 51, 289, 867
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,289,867,749, is 1.
Now, the common factors can be found like this.
967:967
289:17x 17
867:3x 17x 17
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 17 = 289
Therefore, the value for common factors is 289.
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 = 181478521329/(1x289)
LCM = 181478521329/289
LCM = 627953361
Thus, we can understand that the LCM of 967,289,867,749 is 627953361.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 967, 289, 867, 749
1. What is the LCM of 967, 289, 867, 749?
Answer: LCM of 967, 289, 867, 749 is 627953361.
2. How to calculate the LCM of 967, 289, 867, 749?
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 967, 289, 867, 749.
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}.