Find LCM and HCF of integers using Prime Factorization
Algebra | Relation between LCM, HCF and Product of two numbers
In this video, how to find the prime factors of given numbers using factor tree is explained.LCM and HCF of two numbers is obtained by prime factorization of numbers.Basic Algebra is included.That is Find the LCM and HCF of two numbers by the prime factorisation method.
HCF is the Product of the smallest power of each common prime factor in the numbers.
LCM is the Product of the greatest power of each prime factor, involved in the numbers.
Fundamental Theorem of Arithmetic: Every composite number can be expressed or factorised as a product of primes, and this factorisation is prime factorisation.
The prime factorisation of a natural number is unique, except for the order of its factors.
00:02 Q3. Find the LCM and HCF of the following integers by applying the prime factorisation
(i) 12, 15 and 21 (ii) 17, 23 and 29 (iii) 8, 9 and 25
00:29 Write prime factor of 12, 15 and 21.
01:23 HCF of 12, 15 and 21 = Product of the smallest power of each common prime factor in the numbers
LCM of 12, 15 and 21 = Product of the greatest power of each prime factor, involved in the numbers .
02:56 Find the LCM and HCF of 17, 23 and 29
5:03 Find the LCM and HCF of 8, 9 and 25
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