Find the LCM of 802, 984, 893, 893, 563 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 802, 984, 893, 893, 563. So, keep reading to learn more.
Given numbers are 802,984,893,893,563
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,984,893,893,563 is 198380657256.
Find LCM of 802,984,893,893,563 with Prime Factorization
2 | 802, 984, 893, 893, 563 |
19 | 401, 492, 893, 893, 563 |
47 | 401, 492, 47, 47, 563 |
401, 492, 1, 1, 563 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 47 x 401 x 492 x 1 x 1 x 563 = 198380657256
Therefore, the lowest common multiple of 802,984,893,893,563 is 198380657256.
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.
802 x 984 x 893 x 893 x 563 = 354307853859216
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.
802 : 1, 2, 401, 802
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
893 : 1, 19, 47, 893
893 : 1, 19, 47, 893
563 : 1, 563
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,984,893,893,563, is 1.
Now, the common factors can be found like this.
802:2x 401
984:2x 2x 2x 3x 41
893:19x 47
893:19x 47
563:563
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19x 47 = 1786
Therefore, the value for common factors is 1786.
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 = 354307853859216/(1x1786)
LCM = 354307853859216/1786
LCM = 198380657256
Thus, we can understand that the LCM of 802,984,893,893,563 is 198380657256.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 802, 984, 893, 893, 563?
Answer: LCM of 802, 984, 893, 893, 563 is 198380657256.
2. How to calculate the LCM of 802, 984, 893, 893, 563?
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 802, 984, 893, 893, 563.
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}.