LCM of 669, 975, 260, 223, 824
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 669, 975, 260, 223, 824 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 669, 975, 260, 223, 824. So, keep reading to learn more.
Given numbers are 669,975,260,223,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,975,260,223,824 is 179158200.
Find LCM of 669,975,260,223,824 with Prime Factorization
| 2 | 669, 975, 260, 223, 824 |
| 2 | 669, 975, 130, 223, 412 |
| 3 | 669, 975, 65, 223, 206 |
| 5 | 223, 325, 65, 223, 206 |
| 13 | 223, 13, 65, 223, 206 |
| 223 | 223, 1, 5, 223, 206 |
| 1, 1, 5, 1, 206 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 223 x 1 x 1 x 5 x 1 x 206 = 179158200
Therefore, the lowest common multiple of 669,975,260,223,824 is 179158200.
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.
669 x 975 x 260 x 223 x 824 = 31162777308000
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.
669 : 1, 3, 223, 669
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
223 : 1, 223
824 : 1, 2, 4, 8, 103, 206, 412, 824
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,975,260,223,824, is 1.
Now, the common factors can be found like this.
669:3x 223
975:3x 5x 5x 13
260:2x 2x 5x 13
223:223
824:2x 2x 2x 103
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 3x 5x 13x 223 = 173940
Therefore, the value for common factors is 173940.
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 = 31162777308000/(1x173940)
LCM = 31162777308000/173940
LCM = 179158200
Thus, we can understand that the LCM of 669,975,260,223,824 is 179158200.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 669, 975, 260, 223, 824
1. What is the LCM of 669, 975, 260, 223, 824?
Answer: LCM of 669, 975, 260, 223, 824 is 179158200.
2. How to calculate the LCM of 669, 975, 260, 223, 824?
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 669, 975, 260, 223, 824.
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}.