LCM of 694, 979, 902, 909, 531
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 979, 902, 909, 531 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 694, 979, 902, 909, 531. So, keep reading to learn more.
Given numbers are 694,979,902,909,531
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,979,902,909,531 is 1493970128046.
Find LCM of 694,979,902,909,531 with Prime Factorization
| 2 | 694, 979, 902, 909, 531 |
| 3 | 347, 979, 451, 909, 531 |
| 3 | 347, 979, 451, 303, 177 |
| 11 | 347, 979, 451, 101, 59 |
| 347, 89, 41, 101, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 347 x 89 x 41 x 101 x 59 = 1493970128046
Therefore, the lowest common multiple of 694,979,902,909,531 is 1493970128046.
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.
694 x 979 x 902 x 909 x 531 = 295806085353108
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.
694 : 1, 2, 347, 694
979 : 1, 11, 89, 979
902 : 1, 2, 11, 22, 41, 82, 451, 902
909 : 1, 3, 9, 101, 303, 909
531 : 1, 3, 9, 59, 177, 531
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,979,902,909,531, is 1.
Now, the common factors can be found like this.
694:2x 347
979:11x 89
902:2x 11x 41
909:3x 3x 101
531:3x 3x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 295806085353108/(1x198)
LCM = 295806085353108/198
LCM = 1493970128046
Thus, we can understand that the LCM of 694,979,902,909,531 is 1493970128046.
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FAQs on LCM of 694, 979, 902, 909, 531
1. What is the LCM of 694, 979, 902, 909, 531?
Answer: LCM of 694, 979, 902, 909, 531 is 1493970128046.
2. How to calculate the LCM of 694, 979, 902, 909, 531?
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 694, 979, 902, 909, 531.
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}.