Question
Download Solution PDFThe ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The ratio of two numbers = 3 : 4
Their H.C.F. = 4
Formula Used:
Product of two numbers = H.C.F. × L.C.M.
Calculation:
Let the two numbers be 3x and 4x.
Since their H.C.F. is 4, we have:
H.C.F. of 3x and 4x = x = 4
So, the numbers are 3 × 4 = 12 and 4 × 4 = 16
Product of the two numbers = 12 × 16
⇒ Product of the two numbers = 192
Using the formula:
H.C.F. × L.C.M. = Product of the two numbers
⇒ 4 × L.C.M. = 192
⇒ L.C.M. = 192 / 4
⇒ L.C.M. = 48
The L.C.M. of the two numbers is 48.
Last updated on Feb 4, 2025
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