Question

The product of two number is 2925 and their HCF is 15 . Find the LCM of these numbers.​

Answer 1

Step-by-step explanation:

HCF*LCM=PRODUCT OF TWO NUMBERS

15*X=2925

X=2925/15

X=195

LCM=195

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Answer 2

Given:

• Product of two numbers = 2925
• HCF of two numbers = 15

To find:

• LCM of those two numbers?

Solution:

⌬ Let two numbers be a and b.

We know that,

LCM × HCF = Product of two numbers

→ LCM × 15 = a × b

Here,

• Product of two numbers, a × b = 2925

★ Now, According to the Question:

→ LCM × 15 = 2925

→ LCM = 2925/15

→ LCM = 195

Hence, LCM of those two numbers is 195.

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Verification:

LCM × HCF = Product of two numbers

Here,

• LCM = 195
• HCF = 15
• Product of two numbers = 2925

Therefore,

→ 195 × 15 = 2925

→ 2925 = 2925

→ LHS = RHS

Hence, Verfied!