LCM of 967, 340, 722, 969, 325
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 340, 722, 969, 325 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, 340, 722, 969, 325. So, keep reading to learn more.
Given numbers are 967,340,722,969,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,340,722,969,325 is 23144468100.
Find LCM of 967,340,722,969,325 with Prime Factorization
| 2 | 967, 340, 722, 969, 325 |
| 5 | 967, 170, 361, 969, 325 |
| 17 | 967, 34, 361, 969, 65 |
| 19 | 967, 2, 361, 57, 65 |
| 967, 2, 19, 3, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 19 x 967 x 2 x 19 x 3 x 65 = 23144468100
Therefore, the lowest common multiple of 967,340,722,969,325 is 23144468100.
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 340 x 722 x 969 x 325 = 74756631963000
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
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
722 : 1, 2, 19, 38, 361, 722
969 : 1, 3, 17, 19, 51, 57, 323, 969
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,340,722,969,325, is 1.
Now, the common factors can be found like this.
967:967
340:2x 2x 5x 17
722:2x 19x 19
969:3x 17x 19
325:5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17x 19 = 3230
Therefore, the value for common factors is 3230.
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 = 74756631963000/(1x3230)
LCM = 74756631963000/3230
LCM = 23144468100
Thus, we can understand that the LCM of 967,340,722,969,325 is 23144468100.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 967, 340, 722, 969, 325
1. What is the LCM of 967, 340, 722, 969, 325?
Answer: LCM of 967, 340, 722, 969, 325 is 23144468100.
2. How to calculate the LCM of 967, 340, 722, 969, 325?
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, 340, 722, 969, 325.
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}.