Find the HCF and LCM of 196 and 42 using prime factorization method.
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Answer:
Find the prime factorization of 42. 42 = 2 × 3 × 7.
Find the prime factorization of 196. 196 = 2 × 2 × 7 × 7.
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM: LCM = 2 × 2 × 3 × 7 × 7.
LCM = 588.
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Step-by-step explanation:
- Find the prime factorization of 42
- 42 = 2 × 3 × 7
- Find the prime factorization of 196
196 = 2 × 2 × 7 × 7
3. Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
4. LCM = 2 × 2 × 3 × 7 × 7
LCM = 588
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