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Question
What is the HCF and LCM of 175,1225 and 3675 ?
What is the HCF and LCM of 175,1225 and 3675 ?
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Solution
5 175 1225 3675 5 35 245 735 7 7 49 147 7 1 7 21
hcf =5*5*7=175
Steps to find LCM - Find the prime factorization of 175
175 = 5 × 5 × 7 - Find the prime factorization of 1225
1225 = 5 × 5 × 7 × 7 - Find the prime factorization of 3675
3675 = 3 × 5 × 5 × 7 × 7 - Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:3*5*5*7*7
- which is =3675
| 5 | 175 | 1225 | 3675 |
| 5 | 35 | 245 | 735 |
| 7 | 7 | 49 | 147 |
| 7 | 1 | 7 | 21 |
Steps to find LCM
- Find the prime factorization of 175
175 = 5 × 5 × 7 - Find the prime factorization of 1225
1225 = 5 × 5 × 7 × 7 - Find the prime factorization of 3675
3675 = 3 × 5 × 5 × 7 × 7 - Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:3*5*5*7*7
- which is =3675
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