Find the LCM of 224, 899, 513, 922, 980 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 224, 899, 513, 922, 980. So, keep reading to learn more.
Given numbers are 224,899,513,922,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 224,899,513,922,980 is 1666840502880.
Find LCM of 224,899,513,922,980 with Prime Factorization
2 | 224, 899, 513, 922, 980 |
2 | 112, 899, 513, 461, 490 |
7 | 56, 899, 513, 461, 245 |
8, 899, 513, 461, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 8 x 899 x 513 x 461 x 35 = 1666840502880
Therefore, the lowest common multiple of 224,899,513,922,980 is 1666840502880.
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.
224 x 899 x 513 x 922 x 980 = 93343068161280
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.
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
899 : 1, 29, 31, 899
513 : 1, 3, 9, 19, 27, 57, 171, 513
922 : 1, 2, 461, 922
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,899,513,922,980, is 1.
Now, the common factors can be found like this.
224:2x 2x 2x 2x 2x 7
899:29x 31
513:3x 3x 3x 19
922:2x 461
980:2x 2x 5x 7x 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 7 = 56
Therefore, the value for common factors is 56.
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 = 93343068161280/(1x56)
LCM = 93343068161280/56
LCM = 1666840502880
Thus, we can understand that the LCM of 224,899,513,922,980 is 1666840502880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 224, 899, 513, 922, 980?
Answer: LCM of 224, 899, 513, 922, 980 is 1666840502880.
2. How to calculate the LCM of 224, 899, 513, 922, 980?
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 224, 899, 513, 922, 980.
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}.