The Least common multiple is 35 and the Greatest common factor is 7. find a pair of numbers for each set of conditions?

Answer 1

To find a pair of numbers where the least common multiple (LCM) is 35 and the greatest common factor (GCF) is 7, we can use the relationship between LCM and GCF. The product of LCM and GCF of two numbers is equal to the product of the two numbers. Therefore, if LCM is 35 and GCF is 7, the two numbers can be calculated as follows: LCM * GCF = Number 1 * Number 2. Substituting the values, we get 35 * 7 = Number 1 * Number 2. Solving this equation, we find that a pair of numbers could be 5 and 49.

Answer 2

The first step in answering this problem is to break down 30 into its prime factors. These are 2, 3 and 5. Thus two numbers will have a lowest common multiple of 30 if the only unique prime factors are 2, 3 and 5. In order to have a highest common factor of 3, the two numbers need to have only one shared factor (3). Therefore one of the numbers needs to have the prime factors of 2 and 3, and the other needs to have the prime factors of 3 and 5. Thus, the two numbers with a LCM of 30 and a HCF of 3 are 6 and 15.

Answer 3

7 and 35

Answer 4

The least common multiple of 2 , 35 = 70

Answer 5

5 and 6

Answer 6

7 and 35