LCM of 879, 342, 849, 303, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 879, 342, 849, 303, 984 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 879, 342, 849, 303, 984. So, keep reading to learn more.
Given numbers are 879,342,849,303,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,342,849,303,984 is 469726848072.
Find LCM of 879,342,849,303,984 with Prime Factorization
| 2 | 879, 342, 849, 303, 984 |
| 3 | 879, 171, 849, 303, 492 |
| 293, 57, 283, 101, 164 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 293 x 57 x 283 x 101 x 164 = 469726848072
Therefore, the lowest common multiple of 879,342,849,303,984 is 469726848072.
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.
879 x 342 x 849 x 303 x 984 = 76095749387664
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.
879 : 1, 3, 293, 879
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
849 : 1, 3, 283, 849
303 : 1, 3, 101, 303
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,342,849,303,984, is 3.
Now, the common factors can be found like this.
879:3x 293
342:2x 3x 3x 19
849:3x 283
303:3x 101
984:2x 2x 2x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 76095749387664/(3x54)
LCM = 76095749387664/162
LCM = 469726848072
Thus, we can understand that the LCM of 879,342,849,303,984 is 469726848072.
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FAQs on LCM of 879, 342, 849, 303, 984
1. What is the LCM of 879, 342, 849, 303, 984?
Answer: LCM of 879, 342, 849, 303, 984 is 469726848072.
2. How to calculate the LCM of 879, 342, 849, 303, 984?
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 879, 342, 849, 303, 984.
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}.