Find the H:C:F and L:C:M of 576 and 720
Answers
Answer:
Step-by-step explanation:
The lcm of 576 and 720 is 2880.
Steps to find LCM
Find the prime factorization of 576
576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3
Find the prime factorization of 720
720 = 2 × 2 × 2 × 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 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5
LCM = 2880
The hcf of 576 and 720 is 144.
Steps to find HCF
Find the prime factorization of 576
576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3
Find the prime factorization of 720
720 = 2 × 2 × 2 × 2 × 3 × 3 × 5
To find the hcf, multiply all the prime factors common to both numbers:
Therefore, HCF = 2 × 2 × 2 × 2 × 3 × 3
HCF = 144
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Step-by-step explanati