LCM of 902, 693, 526, 574, 973
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 693, 526, 574, 973 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 902, 693, 526, 574, 973. So, keep reading to learn more.
Given numbers are 902,693,526,574,973
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,693,526,574,973 is 2077388082.
Find LCM of 902,693,526,574,973 with Prime Factorization
| 2 | 902, 693, 526, 574, 973 |
| 7 | 451, 693, 263, 287, 973 |
| 11 | 451, 99, 263, 41, 139 |
| 41 | 41, 9, 263, 41, 139 |
| 1, 9, 263, 1, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 41 x 1 x 9 x 263 x 1 x 139 = 2077388082
Therefore, the lowest common multiple of 902,693,526,574,973 is 2077388082.
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.
902 x 693 x 526 x 574 x 973 = 183632796896472
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
526 : 1, 2, 263, 526
574 : 1, 2, 7, 14, 41, 82, 287, 574
973 : 1, 7, 139, 973
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,693,526,574,973, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
693:3x 3x 7x 11
526:2x 263
574:2x 7x 41
973:7x 139
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 7x 7x 11x 41 = 88396
Therefore, the value for common factors is 88396.
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 = 183632796896472/(1x88396)
LCM = 183632796896472/88396
LCM = 2077388082
Thus, we can understand that the LCM of 902,693,526,574,973 is 2077388082.
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FAQs on LCM of 902, 693, 526, 574, 973
1. What is the LCM of 902, 693, 526, 574, 973?
Answer: LCM of 902, 693, 526, 574, 973 is 2077388082.
2. How to calculate the LCM of 902, 693, 526, 574, 973?
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 902, 693, 526, 574, 973.
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}.