If the ratio of the number is 3 : 5 and their HCF is 25. Then, what is the LCM…
2025
If the ratio of the number is 3 : 5 and their HCF is 25. Then, what is the LCM of these two numbers?
Answer: D. 375 — GIVEN: The ratio of two numbers = 3 : 5 HCF of two numbers = 25 CONCEPT: Product of two numbers = LCM × HCF CALCULATION: Suppose two numbers are 3x and 5x,…
- A.
274
- B.
225
- C.
425
- D.
375
Attempted by 74 students.
Show answer & explanation
Correct answer: D
GIVEN:
The ratio of two numbers = 3 : 5
HCF of two numbers = 25
CONCEPT:
Product of two numbers = LCM × HCF
CALCULATION:
Suppose two numbers are 3x and 5x, respectively.
HCF = 25
∴ First number = 3x = 3(25) = 75
Second number = 5x = 5(25) = 125
⇒ 75 × 125 = 25 × LCM
⇒ LCM = 3 × 125
⇒ LCM = 375
Loading lesson…