Find the LCM of 804, 525, 690, 795, 367 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 804, 525, 690, 795, 367. So, keep reading to learn more.
Given numbers are 804,525,690,795,367
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 804,525,690,795,367 is 62945381100.
Find LCM of 804,525,690,795,367 with Prime Factorization
2 | 804, 525, 690, 795, 367 |
3 | 402, 525, 345, 795, 367 |
5 | 134, 175, 115, 265, 367 |
134, 35, 23, 53, 367 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 134 x 35 x 23 x 53 x 367 = 62945381100
Therefore, the lowest common multiple of 804,525,690,795,367 is 62945381100.
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.
804 x 525 x 690 x 795 x 367 = 84976264485000
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.
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
795 : 1, 3, 5, 15, 53, 159, 265, 795
367 : 1, 367
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,525,690,795,367, is 1.
Now, the common factors can be found like this.
804:2x 2x 3x 67
525:3x 5x 5x 7
690:2x 3x 5x 23
795:3x 5x 53
367:367
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 3x 5x 5 = 1350
Therefore, the value for common factors is 1350.
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 = 84976264485000/(1x1350)
LCM = 84976264485000/1350
LCM = 62945381100
Thus, we can understand that the LCM of 804,525,690,795,367 is 62945381100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 804, 525, 690, 795, 367?
Answer: LCM of 804, 525, 690, 795, 367 is 62945381100.
2. How to calculate the LCM of 804, 525, 690, 795, 367?
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 804, 525, 690, 795, 367.
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}.