Find the LCM of 831, 312, 564, 239 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 831, 312, 564, 239. So, keep reading to learn more.
Given numbers are 831,312,564,239
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 831,312,564,239 is 970800792.
Find LCM of 831,312,564,239 with Prime Factorization
2 | 831, 312, 564, 239 |
2 | 831, 156, 282, 239 |
3 | 831, 78, 141, 239 |
277, 26, 47, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 277 x 26 x 47 x 239 = 970800792
Therefore, the lowest common multiple of 831,312,564,239 is 970800792.
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.
831 x 312 x 564 x 239 = 34948828512
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.
831 : 1, 3, 277, 831
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
239 : 1, 239
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,312,564,239, is 1.
Now, the common factors can be found like this.
831:3x 277
312:2x 2x 2x 3x 13
564:2x 2x 3x 47
239:239
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 34948828512/(1x36)
LCM = 34948828512/36
LCM = 970800792
Thus, we can understand that the LCM of 831,312,564,239 is 970800792.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 831, 312, 564, 239?
Answer: LCM of 831, 312, 564, 239 is 970800792.
2. How to calculate the LCM of 831, 312, 564, 239?
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 831, 312, 564, 239.
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}.