Question

For each of the pair of numbers verify their product is equal to HCF into LCM
1. 87,145

Answer 1

Step-by-step explanation:

Given -

• Numbers 87 and 145

To Find -

• LCM and HCF and verify

Now,

87 = 3 × 29

145 = 5 × 29

HCF = 29

LCM = 3 × 5 × 29

→ 435

Hence,

LCM(87,145) = 435

And

HCF(87,145) = 29

Verification :-

Product of two numbers = LCM × HCF

→ 87 × 145 = 435 × 29

→ 12615 = 12615

LHS = RHS

Hence,

Verified...

It shows that our answer is absolutely correct.

Answer 2

$\bold\red{Answer:-}$

$\red{ \ According \ to \ the \ problem}$

write given number 87 and 145 as product of prime.

• 87 = 3 × 29

• 87 = 3 × 29145 = 5 ×29

HCF ( 87 , 145 ) = product of common prime factors = 29

LCM = maximum powers of prime factors = 3 × 5 ×29 = 435

$\pink{ \ Verification:}$

_________

• i ) a × b = 87 × 145 = 12615

• i ) a × b = 87 × 145 = 12615ii ) h × l = 29 × 435 = 12615

$\purple{ \ Therefore ,}$

• a × b = h × l

$\bold\red{Hope \ it's \ helps \ you :-}$