What is L.C.M and H.C.F ? Explain it with proper example.
Answers
Answer:
Lowest Common Multiple (LCM): The least or smallest common multiple of any two or more given natural numbers are termed as LCM. For example, LCM of 10, 15, and 20 is 60.
Highest Common Factor (HCF): The largest or greatest factor common to any two or more given natural numbers is termed as HCF of given numbers.
Step-by-step explanation:
. For example, HCF of 4, 6 and 8 is 2.
4 = 2 × 2
6 =3 × 2
8 = 4 × 2
Example 1: Prove that: LCM (9 & 12) × HCF (9 & 12) = Product of 9 and 12
Solution: LCM and HCF of 9 and 12:
9 = 3 × 3 = 3²
12 = 2 × 2 × 3 = 2² × 3
LCM of 9 and 12 = 2² × 3² = 4 × 9 = 36
HCF of 9 and 12 = 3
LCM (9 & 12) × HCF (9 & 12) = 36 × 3 = 108
Product of 9 and 12 = 9 × 12 = 108
Hence, LCM (9 & 12) × HCF (9 & 12) = 108 = 9 × 12
Answer:
a number which is a factor of each of the given numbers, Is called HCF or common factor.
ex:1,2,3,5,6 etc .
the lowest common multiple of two or more number is LCM or smallest number.
example:12 etc