Find the LCM of 626, 989, 999, 407, 567 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 626, 989, 999, 407, 567. So, keep reading to learn more.
Given numbers are 626,989,999,407,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 626,989,999,407,567 is 142872318666.
Find LCM of 626,989,999,407,567 with Prime Factorization
3 | 626, 989, 999, 407, 567 |
3 | 626, 989, 333, 407, 189 |
3 | 626, 989, 111, 407, 63 |
37 | 626, 989, 37, 407, 21 |
626, 989, 1, 11, 21 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 37 x 626 x 989 x 1 x 11 x 21 = 142872318666
Therefore, the lowest common multiple of 626,989,999,407,567 is 142872318666.
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.
626 x 989 x 999 x 407 x 567 = 142729446347334
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.
626 : 1, 2, 313, 626
989 : 1, 23, 43, 989
999 : 1, 3, 9, 27, 37, 111, 333, 999
407 : 1, 11, 37, 407
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,989,999,407,567, is 1.
Now, the common factors can be found like this.
626:2x 313
989:23x 43
999:3x 3x 3x 37
407:11x 37
567:3x 3x 3x 3x 7
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 3x 37 = 999
Therefore, the value for common factors is 999.
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 = 142729446347334/(1x999)
LCM = 142729446347334/999
LCM = 142872318666
Thus, we can understand that the LCM of 626,989,999,407,567 is 142872318666.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 626, 989, 999, 407, 567?
Answer: LCM of 626, 989, 999, 407, 567 is 142872318666.
2. How to calculate the LCM of 626, 989, 999, 407, 567?
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 626, 989, 999, 407, 567.
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}.