LCM of 209, 980, 733, 451, 664
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 209, 980, 733, 451, 664 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, 980, 733, 451, 664. So, keep reading to learn more.
Given numbers are 209,980,733,451,664
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,980,733,451,664 is 1021805606360.
Find LCM of 209,980,733,451,664 with Prime Factorization
| 2 | 209, 980, 733, 451, 664 |
| 2 | 209, 490, 733, 451, 332 |
| 11 | 209, 245, 733, 451, 166 |
| 19, 245, 733, 41, 166 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 245 x 733 x 41 x 166 = 1021805606360
Therefore, the lowest common multiple of 209,980,733,451,664 is 1021805606360.
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 980 x 733 x 451 x 664 = 44959446679840
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
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
733 : 1, 733
451 : 1, 11, 41, 451
664 : 1, 2, 4, 8, 83, 166, 332, 664
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,980,733,451,664, is 1.
Now, the common factors can be found like this.
209:11x 19
980:2x 2x 5x 7x 7
733:733
451:11x 41
664:2x 2x 2x 83
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 11 = 44
Therefore, the value for common factors is 44.
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 = 44959446679840/(1x44)
LCM = 44959446679840/44
LCM = 1021805606360
Thus, we can understand that the LCM of 209,980,733,451,664 is 1021805606360.
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FAQs on LCM of 209, 980, 733, 451, 664
1. What is the LCM of 209, 980, 733, 451, 664?
Answer: LCM of 209, 980, 733, 451, 664 is 1021805606360.
2. How to calculate the LCM of 209, 980, 733, 451, 664?
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, 980, 733, 451, 664.
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}.