Determine the greatest 3-digit number exactly divisible by 8, 10 and 12.

NCERT Math Class 6th Question – 5 Exercise 3.7

Determine the greatest 3-digit number exactly divisible by 8, 10 and 12.

Solution:

To find the LCM of 8, 10 and 12, we have

∴ LCM of 8, 10 and 12 = 2 x 2 x 2 x 3 x 5 = 120
The greatest 3-digit number = 999


∴ Multiple of 120 just below 999 is 960.
Hence, the required number is 960.

NCERT Math Class 6th Question – 1 Exercise 3.7Click here
NCERT Math Class 6th Question – 2 Exercise 3.7Click here
NCERT Math Class 6th Question – 3 Exercise 3.7Click here
NCERT Math Class 6th Question – 4 Exercise 3.7Click here
NCERT Math Class 6th Question – 6 Exercise 3.7Click here
NCERT Math Class 6th Question – 7 Exercise 3.7Click here
NCERT Math Class 6th Question – 8 Exercise 3.7Click here
NCERT Math Class 6th Question – 9 Exercise 3.7Click here
NCERT Math Class 6th Question – 10 Exercise 3.7Click here
NCERT Math Class 6th Question – 11 Exercise 3.7Click here

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