1. LCM of 2 numbers is 2295 and HCF is 9. If one of the number is 153, find the other number.
These are the options :
(A)1035 (B) 45 (C) 145 (D) 135 .
with full explanation in detail .
Answers
Answer:
Option (D)
Step-by-step explanation:
Given :-
LCM of two numbers = 2295
HCF = 9
One of the numbers = 153
To find :-
The other number
Solution :-
Given that
LCM of two numbers = 2295
HCF of two numbers = 9
One of the numbers (a) = 153
Let the other number be "b"
We know that
LCM × HCF = Product of two numbers
Therefore, LCM × HCF = a×b
=> 2295×9 = 153×b
=> 153×b = 2295×9
=> 153b = 20655
=> b = 20655/153
=> b = 135
Therefore, b = 135
Answer :-
The other number is 135
Check :-
We have,
a = 153 and b = 135
153 = 9×17
135 = 9×15
HCF = 9
LCM = 9×15×17
LCM = 2295
LCM × HCF = 2295×9 = 20655
a×b = 153×135 = 20655
LCM × HCF = a×b
Verified the given relations in the given problem.
Used formulae:-
→ LCM × HCF = Product of two numbers
→ The Highest Common Factor of two or more numbers is the heighest or greatest of their common factors. It is also called as Greatest Common Divisor (GCD).
→ The Least Common Multiple of two or more numbers is the smallest natural number,which is the multiple of each of the numbers.
Answer:
here
Step-by-step explanation:
Heya user,
Here's your answer.
We know that product of two numbers = product of their LCM and HCF
Given, one number x = 153
let the other number be y
LCM (x,y) = 2295
HCF(x,y) = 9
Substituting the values, we get
2295*9 = y*153
y = 135
Therefore, the required answer is 135.
Hope it helped.
Regards.