basic difference between HCF and LCM
Answers
Answer:
the Hcf mean is HEIGHEST COMMAN FACTOR
THE LCM MEAN IS LOWEST COMMAN MULTIPLE
Step-by-step explanation:
- the hcf of two or more number is largest comman factor of given number.
- it is the smallest number which divides the two or more given number.
now lcm
- The lcm of two or more number is smallest number that is common multiple of two or more
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Answer:
HCF = Highest Common Factor
LCM = Lowest Common Factor
Step-by-step explanation:
Let us take example
1. find HCF of 20,10
The prime factorization of 20
= 2×2×5
And the prime factorization of 10
= 2×5
so
HCF (10,20) = 2×5 = 10
2. Find LCM of 20,10
The prime factorization of 20
= 2×2×5
And the prime factorization of 10
= 2×5
LCM (20,10) = 2×5×2 = 20
Another example
3. Find the LCM and HCF of 24,64
The prime factorization of 24
= 2×2×2×3 = 2^2 × 3
And the prime factorization of 64
= 2×2×2×2×2×2 = 2^6
HCF (24,64) = 2^2 = 4
in HCF choose common and write the lower power of common.
LCM (24,64) = 2^6 × 3 = 64 × 3 = 192
in LCM choose common and write its highest power and multiple left over number.