Find the LCM of 367, 804, 849, 781, 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 367, 804, 849, 781, 563. So, keep reading to learn more.
Given numbers are 367,804,849,781,563
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,804,849,781,563 is 36717066599532.
Find LCM of 367,804,849,781,563 with Prime Factorization
3 | 367, 804, 849, 781, 563 |
367, 268, 283, 781, 563 |
Multiply the prime numbers at the bottom and the left side.
3 x 367 x 268 x 283 x 781 x 563 = 36717066599532
Therefore, the lowest common multiple of 367,804,849,781,563 is 36717066599532.
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.
367 x 804 x 849 x 781 x 563 = 110151199798596
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.
367 : 1, 367
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
849 : 1, 3, 283, 849
781 : 1, 11, 71, 781
563 : 1, 563
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,804,849,781,563, is 1.
Now, the common factors can be found like this.
367:367
804:2x 2x 3x 67
849:3x 283
781:11x 71
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.
3 = 3
Therefore, the value for common factors is 3.
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 = 110151199798596/(1x3)
LCM = 110151199798596/3
LCM = 36717066599532
Thus, we can understand that the LCM of 367,804,849,781,563 is 36717066599532.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 367, 804, 849, 781, 563?
Answer: LCM of 367, 804, 849, 781, 563 is 36717066599532.
2. How to calculate the LCM of 367, 804, 849, 781, 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 367, 804, 849, 781, 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}.