Hi
Given ratio = 3:4:5
So,
Let us assume that the numbers are 3x, 4x and 5x.
Then,
their lcm = 60 x .
Now, it is given that lcm = 2400
60 x = 2400
or x = 40.
The numbers are
(3 x 40) = 120 = 2^ 3 x 3 x 5
(4 x 40) =160 = 2^5 x 5
(5 x 40)=200 = 2 ^3 x 5^2
HCF = 2^3 x 5 = 8 x 5 = 40
Hence, H.C.F. = 40.
Question : Three numbers are in the ratio 2 : 3 : 5 and their LCM is 60. What is the HCF of the numbers?
Option 1: 2
Option 2: 4
Option 3: 10
Option 4: 6
Question : Three numbers are in the ratio of 5 : 7 : 9 and their LCM is 34,650. Their HCF is:
Option 1: 315
Option 2: 55
Option 3: 110
Option 4: 99
Question : If three numbers are in the ratio of 1 : 3 : 7, and their LCM is 336, then their HCF is:
Option 1: 16
Option 2: 18
Option 4: 12
Question : The ratio of the two numbers is 4 : 5, and their HCF is 3. What is their LCM?
Option 1: 48
Option 2: 80
Option 3: 60
Option 4: 36
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