how to find lcm and hcf
Answers
Answered by
5
There are two methods by which we can find the LCM and HCF of Numbers.
1. Factorization Method
2 . Division Method
Here I am going to explain the factorization method
Factorize each number into prime factors .
The Product of Least powers of Common FActors gives HCF.
and Product of highest powers of all factors gives LCM .
for Example ,
Find HCF and LCM of 12 , 27 , 25
Sol : 12 = 2² *3
27 = 3³
75 = 5² * 3
HCF = 3 (Note 3 is common factor and we choose least power of 3 )
LCM = 2² * 3³ * 5² = 4*27*25 = 2700
Hope this helps you !!
Thank You
1. Factorization Method
2 . Division Method
Here I am going to explain the factorization method
Factorize each number into prime factors .
The Product of Least powers of Common FActors gives HCF.
and Product of highest powers of all factors gives LCM .
for Example ,
Find HCF and LCM of 12 , 27 , 25
Sol : 12 = 2² *3
27 = 3³
75 = 5² * 3
HCF = 3 (Note 3 is common factor and we choose least power of 3 )
LCM = 2² * 3³ * 5² = 4*27*25 = 2700
Hope this helps you !!
Thank You
Answered by
0
Answer:
First find the prime factorisation of all Numbers given.
For HCF ,
we find highest common factor by multiplying the number which are common in factorisation of each number
For LCM,
multiplying numbers which has highest power in list .
Ex.
4,6
4=2×2
6=3×2
HCF=2
LCM=2^2 ×3
=12
Hope it helps
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