Find the LCM of 477, 341, 308, 274, 896 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 477, 341, 308, 274, 896. So, keep reading to learn more.
Given numbers are 477,341,308,274,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,341,308,274,896 is 19966472064.
Find LCM of 477,341,308,274,896 with Prime Factorization
2 | 477, 341, 308, 274, 896 |
2 | 477, 341, 154, 137, 448 |
7 | 477, 341, 77, 137, 224 |
11 | 477, 341, 11, 137, 32 |
477, 31, 1, 137, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 477 x 31 x 1 x 137 x 32 = 19966472064
Therefore, the lowest common multiple of 477,341,308,274,896 is 19966472064.
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.
477 x 341 x 308 x 274 x 896 = 12299346791424
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.
477 : 1, 3, 9, 53, 159, 477
341 : 1, 11, 31, 341
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
274 : 1, 2, 137, 274
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,341,308,274,896, is 1.
Now, the common factors can be found like this.
477:3x 3x 53
341:11x 31
308:2x 2x 7x 11
274:2x 137
896:2x 2x 2x 2x 2x 2x 2x 7
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 2x 7x 11 = 616
Therefore, the value for common factors is 616.
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 = 12299346791424/(1x616)
LCM = 12299346791424/616
LCM = 19966472064
Thus, we can understand that the LCM of 477,341,308,274,896 is 19966472064.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 477, 341, 308, 274, 896?
Answer: LCM of 477, 341, 308, 274, 896 is 19966472064.
2. How to calculate the LCM of 477, 341, 308, 274, 896?
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 477, 341, 308, 274, 896.
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}.