Find the LCM of 567, 620, 705, 795, 421 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 567, 620, 705, 795, 421. So, keep reading to learn more.
Given numbers are 567,620,705,795,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,620,705,795,421 is 368663864940.
Find LCM of 567,620,705,795,421 with Prime Factorization
3 | 567, 620, 705, 795, 421 |
5 | 189, 620, 235, 265, 421 |
189, 124, 47, 53, 421 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 189 x 124 x 47 x 53 x 421 = 368663864940
Therefore, the lowest common multiple of 567,620,705,795,421 is 368663864940.
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.
567 x 620 x 705 x 795 x 421 = 82949369611500
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
705 : 1, 3, 5, 15, 47, 141, 235, 705
795 : 1, 3, 5, 15, 53, 159, 265, 795
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,620,705,795,421, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
620:2x 2x 5x 31
705:3x 5x 47
795:3x 5x 53
421:421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5 = 225
Therefore, the value for common factors is 225.
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 = 82949369611500/(1x225)
LCM = 82949369611500/225
LCM = 368663864940
Thus, we can understand that the LCM of 567,620,705,795,421 is 368663864940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 620, 705, 795, 421?
Answer: LCM of 567, 620, 705, 795, 421 is 368663864940.
2. How to calculate the LCM of 567, 620, 705, 795, 421?
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 567, 620, 705, 795, 421.
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}.