LCM of 209, 640, 420, 661
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 209, 640, 420, 661 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 209, 640, 420, 661. So, keep reading to learn more.
Given numbers are 209,640,420,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,640,420,661 is 1856722560.
Find LCM of 209,640,420,661 with Prime Factorization
| 2 | 209, 640, 420, 661 |
| 2 | 209, 320, 210, 661 |
| 5 | 209, 160, 105, 661 |
| 209, 32, 21, 661 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 209 x 32 x 21 x 661 = 1856722560
Therefore, the lowest common multiple of 209,640,420,661 is 1856722560.
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.
209 x 640 x 420 x 661 = 37134451200
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.
209 : 1, 11, 19, 209
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,640,420,661, is 1.
Now, the common factors can be found like this.
209:11x 19
640:2x 2x 2x 2x 2x 2x 2x 5
420:2x 2x 3x 5x 7
661:661
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 5 = 20
Therefore, the value for common factors is 20.
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 = 37134451200/(1x20)
LCM = 37134451200/20
LCM = 1856722560
Thus, we can understand that the LCM of 209,640,420,661 is 1856722560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 209, 640, 420, 661
1. What is the LCM of 209, 640, 420, 661?
Answer: LCM of 209, 640, 420, 661 is 1856722560.
2. How to calculate the LCM of 209, 640, 420, 661?
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 209, 640, 420, 661.
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}.