Find the LCM of 353, 883, 896, 353, 493 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 353, 883, 896, 353, 493. So, keep reading to learn more.
Given numbers are 353,883,896,353,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 353,883,896,353,493 is 137686175872.
Find LCM of 353,883,896,353,493 with Prime Factorization
353 | 353, 883, 896, 353, 493 |
1, 883, 896, 1, 493 |
Multiply the prime numbers at the bottom and the left side.
353 x 1 x 883 x 896 x 1 x 493 = 137686175872
Therefore, the lowest common multiple of 353,883,896,353,493 is 137686175872.
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.
353 x 883 x 896 x 353 x 493 = 48603220082816
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.
353 : 1, 353
883 : 1, 883
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
353 : 1, 353
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,883,896,353,493, is 1.
Now, the common factors can be found like this.
353:353
883:883
896:2x 2x 2x 2x 2x 2x 2x 7
353:353
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
353 = 353
Therefore, the value for common factors is 353.
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 = 48603220082816/(1x353)
LCM = 48603220082816/353
LCM = 137686175872
Thus, we can understand that the LCM of 353,883,896,353,493 is 137686175872.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 353, 883, 896, 353, 493?
Answer: LCM of 353, 883, 896, 353, 493 is 137686175872.
2. How to calculate the LCM of 353, 883, 896, 353, 493?
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 353, 883, 896, 353, 493.
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}.