LCM of 669, 570, 726, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 669, 570, 726, 990 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, 570, 726, 990. So, keep reading to learn more.
Given numbers are 669,570,726,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,570,726,990 is 46140930.
Find LCM of 669,570,726,990 with Prime Factorization
| 2 | 669, 570, 726, 990 |
| 3 | 669, 285, 363, 495 |
| 5 | 223, 95, 121, 165 |
| 11 | 223, 19, 121, 33 |
| 223, 19, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 223 x 19 x 11 x 3 = 46140930
Therefore, the lowest common multiple of 669,570,726,990 is 46140930.
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 570 x 726 x 990 = 274077124200
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
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,570,726,990, is 3.
Now, the common factors can be found like this.
669:3x 223
570:2x 3x 5x 19
726:2x 3x 11x 11
990:2x 3x 3x 5x 11
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 3x 5x 11 = 1980
Therefore, the value for common factors is 1980.
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 = 274077124200/(3x1980)
LCM = 274077124200/5940
LCM = 46140930
Thus, we can understand that the LCM of 669,570,726,990 is 46140930.
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FAQs on LCM of 669, 570, 726, 990
1. What is the LCM of 669, 570, 726, 990?
Answer: LCM of 669, 570, 726, 990 is 46140930.
2. How to calculate the LCM of 669, 570, 726, 990?
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, 570, 726, 990.
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}.