Question

Find the prime factors of 153 , 187 and find their LCM and HCF​

Answer 1

Answer:

187 = 11 × 17;

153 = 32 × 17;

Multiply all the prime factors, by the largest exponents (if any).

Least common multiple:

lcm (187; 153) = 32 × 11 × 17;

lcm (187; 153) = 32 × 11 × 17 = 1,683

the numbers have common prime factors

Answer 2

Prime factor of 153 = 3, 17

Prime factor of 187 =  17

LCM(153, 187) = 1683 and HCF (153, 187) = 17

Given:

153, 187

To find:

Find the prime factors of 153 , 187 and find their LCM and HCF​

Solution:

The prime factors of 153 , 187 can be written as given below

⇒ 153 = 3 × 3 × 17

⇒ 187 = 11 × 17

Prime factor of 153 = 3, 17

Prime factor of 187 = 11, 17

LCM or Least Common Multiples of 153, 187 = 3 × 3 × 11 × 17

⇒ LCM of 153, 187 = Product of 3 × 3 × 11 × 17

⇒ LCM(153, 187) = 1683

HCF or Highest Common Factor of 153, 187

= common factor in both factors = 17

⇒ HCF (153, 187) = 17

Prime factor of 153 = 3, 17

Prime factor of 187 = 11, 17

LCM(153, 187) = 1683 and HCF (153, 187) = 17

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