12 and 9.
Since both have to be multiples of 3 and sum to 21, the only pairs to consider are
3 and 18
6 and 15
9 and 12
Of these, 3 and 18 have an LCM of 18 and 6 and 15 have an LCM of 30.
60 and 36
40 and 50
40 and 50
The GCF of 6 and 10 is 2.
The GCF of two numbers multiplied by their LCM will equal the product of the original numbers. If you know the GCF, divide it into the product of the two. The result will be the LCM. If the GCF of two numbers is 1, the LCM is their product.
You cannot. LCM{2,6,12} = 12 and GCF{2,6,12} = 2 LCM{4,6,12} = 12 and GCF{4,6,12} = 2 The two sets have the same LCM and GCF but, clearly, their sums are different.
No, the only way the GCF and LCM of two numbers can be the same is if the numbers are the same.
The GCF of 9 and 15 is 3. The LCM is 45.
The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.
The product of the GCF and the LCM of two numbers is equal to the product of the original two numbers. Multiply the GCF and the LCM. The original two numbers will be another factor pair of that total. Find the factor pair that has that GCF and LCM.
The LCM of two numbers will never be less than the GCF.
To find the LCM and GCF of numbers at least two or more numbers are neeeded.