Find the LCM of 731, 477, 452, 924, 657 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 731, 477, 452, 924, 657. So, keep reading to learn more.
Given numbers are 731,477,452,924,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,477,452,924,657 is 885906271404.
Find LCM of 731,477,452,924,657 with Prime Factorization
2 | 731, 477, 452, 924, 657 |
2 | 731, 477, 226, 462, 657 |
3 | 731, 477, 113, 231, 657 |
3 | 731, 159, 113, 77, 219 |
731, 53, 113, 77, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 731 x 53 x 113 x 77 x 73 = 885906271404
Therefore, the lowest common multiple of 731,477,452,924,657 is 885906271404.
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.
731 x 477 x 452 x 924 x 657 = 95677877311632
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.
731 : 1, 17, 43, 731
477 : 1, 3, 9, 53, 159, 477
452 : 1, 2, 4, 113, 226, 452
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,477,452,924,657, is 1.
Now, the common factors can be found like this.
731:17x 43
477:3x 3x 53
452:2x 2x 113
924:2x 2x 3x 7x 11
657:3x 3x 73
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 95677877311632/(1x108)
LCM = 95677877311632/108
LCM = 885906271404
Thus, we can understand that the LCM of 731,477,452,924,657 is 885906271404.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 731, 477, 452, 924, 657?
Answer: LCM of 731, 477, 452, 924, 657 is 885906271404.
2. How to calculate the LCM of 731, 477, 452, 924, 657?
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 731, 477, 452, 924, 657.
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}.