Page 49 - NUMINO_WB_6A
P. 49
101-P3-1
Applications of LCM and GCF
Find all the two pairs of numbers for A and B that satisfy the following conditions.
The LCM of A and B is 48.
The GCF of the A and B is 4.
A is less than B.
Step 1. The LCM is 48, so A and B are factors of 48. Find the factors of 48.
Step 2. The GCF is 4, so A and B are multiples of 4. Find the factors of 48 that
are multiples of 4.
Step 3. A B GCF LCM. Find A B.
Step 4. From the result of A B, find the number that is a factor of 48 and a
multiple of 4.
Step 5. Check the conditions again, then find A and B.
Applications of LCM and GCF
Find all the two pairs of numbers for A and B that satisfy the following conditions.
The LCM of A and B is 48.
The GCF of the A and B is 4.
A is less than B.
Step 1. The LCM is 48, so A and B are factors of 48. Find the factors of 48.
Step 2. The GCF is 4, so A and B are multiples of 4. Find the factors of 48 that
are multiples of 4.
Step 3. A B GCF LCM. Find A B.
Step 4. From the result of A B, find the number that is a factor of 48 and a
multiple of 4.
Step 5. Check the conditions again, then find A and B.