MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Finding LCM of Two Numbers

find the smal...

Question

find the smallest number which when diminished by 6 is divisible by 12,15,20 and 27.

Open in App

Solution

Dear student
The prime factorization of the above number is
12=2x2x3
15=3x5
20=2x2x5
and 27=3x3x3
So, LCM(12,15,20,27)=2x2x3x3x3x5=540
So, Required number is LCM(12,15,20,27)+6=540+6=546
Regards

Suggest Corrections

thumbs-up

1

Similar questions

Q. The smallest

4 -

digit number exactly divisible by

12, 15, 20

35

is .............

Q. The smallest number of 4-digits exactly divisible by

12, 15, 20

35

Q. The smallest number which when diminished by 3 is divisible by 11,28,36 and 45 is

(a) 1257
(b) 1260
(c) 1263
(d) None of these

Q. The smallest number which when diminished by 3 is divisible by 14, 28, 36 and 45, is
(a) 1257
(b) 1260
(c) 1263
(d) none of these

Q. The smallest number, when it divided by

12, 15, 20

54

, leaves a remainder of

6

in each case is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

How Many We Make?

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Finding LCM of Two Numbers

Standard IV Mathematics

Join BYJU'S Learning Program

CrossIcon