LCM of 973, 448, 649, 271, 932
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 973, 448, 649, 271, 932 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 973, 448, 649, 271, 932. So, keep reading to learn more.
Given numbers are 973,448,649,271,932
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,448,649,271,932 is 2551894541504.
Find LCM of 973,448,649,271,932 with Prime Factorization
| 2 | 973, 448, 649, 271, 932 |
| 2 | 973, 224, 649, 271, 466 |
| 7 | 973, 112, 649, 271, 233 |
| 139, 16, 649, 271, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 139 x 16 x 649 x 271 x 233 = 2551894541504
Therefore, the lowest common multiple of 973,448,649,271,932 is 2551894541504.
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.
973 x 448 x 649 x 271 x 932 = 71453047162112
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.
973 : 1, 7, 139, 973
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
649 : 1, 11, 59, 649
271 : 1, 271
932 : 1, 2, 4, 233, 466, 932
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,448,649,271,932, is 1.
Now, the common factors can be found like this.
973:7x 139
448:2x 2x 2x 2x 2x 2x 7
649:11x 59
271:271
932:2x 2x 233
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 7 = 28
Therefore, the value for common factors is 28.
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 = 71453047162112/(1x28)
LCM = 71453047162112/28
LCM = 2551894541504
Thus, we can understand that the LCM of 973,448,649,271,932 is 2551894541504.
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FAQs on LCM of 973, 448, 649, 271, 932
1. What is the LCM of 973, 448, 649, 271, 932?
Answer: LCM of 973, 448, 649, 271, 932 is 2551894541504.
2. How to calculate the LCM of 973, 448, 649, 271, 932?
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 973, 448, 649, 271, 932.
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}.