wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If a = 23×3, b = 2×3×5, c = 3n×5 and LCM (a, b, c) = 23×32×5, then n = ?
(Here, n is a natural number)

A
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 2
Given: a = 23×3
b = 2×3×5
c = 3n×5
LCM (a, b, c) = 23×32×5 ... (1)
Since, to find LCM we need to take the prime factors with their highest degree:
LCM will be 23×3n×5 ... (2) (n1)
On comparing we get,
n = 2

flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Fundamental Theorem of Arithmetic
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon