Find the LCM and HCF a) …

(1) The prime factorisation of 25 are 5 and 5. (2) 17 is a prime factor. (3) The prime factors of 34 are 2 and 17. (4) Build a prime factor table :- Determine the maximum number of times each prime factor (2,5,17) occurs in the factorization of the given numbers: Number 25 17. 34. Max occ Of Prime Factor 2. 0. 0. 1. 1 5. 2. 0. 0. 2 17. 0. 1. 1. 1 The prime factors 2 and 17 occur one time, while 5 occurs more than once. (5) Calculate the LCM The least common multiple is the product of all factors in the greatest number of their occurance. LCM = 2×5×5×17 LCM = 2×5²×17 LCM = 850 The least common multiple of 25, 17 and 34 is 850.

HCF=17 LCM=850

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