Question

3, The L.C.M. of two numbers is 4 times of their H.C.F.
The product of numbers is 900. Find their L.C.M.
a) 64
b) 48
c) 45
d) 60​

Answer 1

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Let their H.C.F. be 'x'

A.T.Q.

L.C.M. = product of numbers/ H.C.F. of the numbers

4x = 900/x

4x × x = 900

4x² = 900

x² = 900/4

x² = 225

x = √225

x = 15

L.C.M. = 4x = 4 × 15 = 60

✯ L.C.M. of numbers is = 60

Answer 2

Step-by-step explanation:

your answer is 60.

Let HCF be x

the LCM = 4x

we know,

LCM×HCF = PRODUCT OF TWO NUMBERS

SO

4X × X = 900

4x² = 900

x² = 225

x = ✓225

x = 15

HCF = X = 15

LCM = 4X = 4×15 = 60.

I hope, you'll like it.