find LCM and HCF of 45 and 90 by prime factorisation
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hey friend here your answer hope it helps
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The prime factorization of 90 is: 2 x 3 x 3 x 5. The prime factors and multiplicities 45 and 90 have in common are: 3 x 3 x 5. 3 x 3 x 5 is the gcf of 45 and 90. gcf(45,90) = 45.
What is the LCM of 45 and 90?
The lcm of 45 and 90 is 90.
Steps to find LCM
- Find the prime factorization of 45
- 45 = 3 × 3 × 5
- Find the prime factorization of 90
- 90 = 2 × 3 × 3 × 5
- Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
- LCM = 2 × 3 × 3 × 5
- LCM = 90
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