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Answers
Answer:
1 . HCF = 17
LCM = 595
Step-by-step explanation:
hope you got it
Answer:
1. 34 < 85
▶By Euclid's division lemma
85 = 34 × 2 + 17
34 = 17 × 2 + 0
HCF ( 85 , 34 ) = 17
The Least Common Multiple (LCM) of 34 and 85 is the smallest positive number that is a multiple of both 34 and 85.
Here we will show you two different ways to figure out the Least Common Multiple of 34 and 85.
Our favorite way is to find the prime factors of each number and then merge them together to get the answer.
The prime factor(s) of 34 are:
2 x 17
The prime factor(s) of 85 are:
5 x 17
So,
2 x 5 x 17
Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 34 and 85 as follows:
170=LCM
2. Find the prime factors of 3240:
3240 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5
3240 = 2³ x 3⁴ x 5¹
Find the value of k:
Perfect cube ⇒ the exponents must be in multiples of 3
3240 = 2³ x 3⁴ x 5¹
3240k = 2³ x 3⁶ x 5³
⇒ k = 3² x 5²
⇒ k = 9 x 25
⇒ k = 225
Answer: k = 225
Check:
3240k = 3240 x 225
3240k = 729000
√3240k = √729000
√3240k = 90