Find the LCM of 263, 736, 897, 322, 551 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 263, 736, 897, 322, 551. So, keep reading to learn more.
Given numbers are 263,736,897,322,551
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 263,736,897,322,551 is 29117079264.
Find LCM of 263,736,897,322,551 with Prime Factorization
2 | 263, 736, 897, 322, 551 |
23 | 263, 368, 897, 161, 551 |
263, 16, 39, 7, 551 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 263 x 16 x 39 x 7 x 551 = 29117079264
Therefore, the lowest common multiple of 263,736,897,322,551 is 29117079264.
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.
263 x 736 x 897 x 322 x 551 = 30805869861312
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.
263 : 1, 263
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
897 : 1, 3, 13, 23, 39, 69, 299, 897
322 : 1, 2, 7, 14, 23, 46, 161, 322
551 : 1, 19, 29, 551
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,736,897,322,551, is 1.
Now, the common factors can be found like this.
263:263
736:2x 2x 2x 2x 2x 23
897:3x 13x 23
322:2x 7x 23
551:19x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23x 23 = 1058
Therefore, the value for common factors is 1058.
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 = 30805869861312/(1x1058)
LCM = 30805869861312/1058
LCM = 29117079264
Thus, we can understand that the LCM of 263,736,897,322,551 is 29117079264.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 263, 736, 897, 322, 551?
Answer: LCM of 263, 736, 897, 322, 551 is 29117079264.
2. How to calculate the LCM of 263, 736, 897, 322, 551?
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 263, 736, 897, 322, 551.
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}.