Question

The product of any two prime number is 437, whatsup will the sum of their lcm and hcf

Answer 1

Answer:

Prime factors of 437 :- 19, 23

Step-by-step explanation:

LCM = 437

HCF = 1

Answer 2

Answer:

Sum of their H.C.F and L.C.M = 438.

Step-by-step explanation:

Highest Common Factor:

• The Highest common Factor of two or more numbers is the largest number that divides evenly into all the numbers from a group of numbers.

• The Highest common factor is abbreviated as H.C.F.            

Least common multiple:

• The least common multiple of two or more numbers is the number that can be divisible by both the numbers.

• The least common multiple is abbreviated as L.C.M.

Given,

    Product of any two prime numbers = 437

      Prime factorization of 437

       437 = 19 × 23

     The two numbers are 19 and 23.

     now write prime factors of 19 and 23

     Prime factors of 19 = 1 × 19

     Prime factors of 23 = 1 × 23

     Highest common factor(H.C.F) of 19 and 23 = 1.

     Least common multiple(L.C.M) of 19 and 23 = 1×19×23 = 437

     Sum of H.C.F and L.C.M of 19 and 23 = 1 + 437 = 438

   Hence, Sum of their H.C.F and L.C.M = 438.

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