Find the hcf and lcm of 12 36 and 160 using the prime factorization method
Answers
36=2²*3²
160=2⁴*2*5
LCM=1440
HCF= 2²=4
Answer:
The LCM is 1440 and HCF is 4.
Step-by-step explanation:
As per the data given in the question we have to find the hcf and lcm by using the prime factorization method.
As per the question it is given that 12 36 and 160.
LCM is the short form for “Least Common Multiple.” The least common multiple is defined as the smallest multiple that two or more numbers have in common.
HCF or Highest Common Factor is the greatest number which divides each of the two or more numbers. HCF is also called the Greatest Common Measure (GCM) and Greatest Common Divisor(GCD).
factorization or factoring is defined as the breaking or decomposition of an entity.Factorisation of an algebraic expression means writing the given expression as a product of its factors. These factors can be numbers, variables, or an algebraic expression.
The method of prime factorization is used to break down or express a given number as a product of prime numbers. More so, if a prime number occurs more than once in the factorization, it is usually expressed in exponential form to make it look more compact. Here, a prime number is a whole number greater than 1 that is only divisible by 1 and itself. Another way to say it is that a prime number has exactly two factors, namely 1 and itself. Let us explain prime factorization in steps.
First let us list down a few prime numbers: 2, 3, 5, 7, 11, 13, 17, etcetera.
Now, we have been asked to find the LCM and HCF of 12, 36 and 160.
12 = 2×2×3
36 = 2×2×3×3
160 = 2×2×2×2×2×5
Thus, the LCM is 1440 and HCF is 4.
Hence, the LCM is 1440 and HCF is 4.
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