if we list the prime factors of both numbers we get the following:
2187 : 3 3 3 3 3 3 3
135405: 3 3 3 5 17 59
We can then take the product of whatever factors they both share. Since they both have 3 3's the product is 27.
This means that 27 is the largest number that will divide both 2187 and 135405
The GCF is 27.
1024 = 2 to the power 10, 2187 = 3 to the power 7. There is no common factor above 1.
The greatest common factor of 192 and 2,187 is 3
The GCF is 27.
Prime factorization of 297891 = 33 x 11 x 17 x 59 Prime factorization of 2187 = 37 gcd(297891, 2187) = 33 = 27.
The Greatest Common Divisor of 297, 891, 2187 is 27.
The least common multiple of 135 , 405 , 2187 = 10,935
The Least Common Multiple (LCM) for 189 567 2187 is 15,309.
24,129,171
A mathemtical trick is to note that all three numbers are divisible by '9'. How do we known this?? Because the sum of the digits in each number adds to '9'. Hence 189, 567, 2187) 189 ; 1 + 8 + 9 = 18 = 1 + 8 = 9 567 ; 5 + 6 + 7 = 18 = 1 + 8 = 9 2187 [ 2 + 1 + 8 + 7 = 18 = 1 + 8 = 9 189/9 = 21 567/ 9 = 63 2187/9 = 243 All three sub-answer will divide by '3' Hence 7,9,81 ( There are NO common factors ) Hence 9 x 3 = 27 is the GCF. NB THis mathemtical 'trick' can only be done with '9'. !!!!!
Since 2187is an ODD Number, try the lowest odd prime number '3'. Hence 3)2187 729 Keep on dividing by '3', until it will go no further, then try the next prime number '5'. Keep on doing this until you reduce to '1' . Hence 3)729 3)243 3)81 3)27 3)9 3)3 =1 Reduced to '1'. We have divided by '3' seven times over. Hence 2187 = 3^(7)_ The answer!!!!! NB Division by other prime numbers was not needed. NNB Use this 'step-ladder' system to find all the fctors/exponents of a given number.
The LCM is 24057.