L.C.M of 72 and 225
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Step-by-step explanation:
Find the prime factorization of 72
72 = 2 × 2 × 2 × 3 × 3
Find the prime factorization of 225
225 = 3 × 3 × 5 × 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 × 3 × 3 × 5 × 5
LCM = 1800
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72= 2 X 36
36= 2 X 18
18= 2 X 9
9= 3 X 3
3= 3X 1
225= 5 X 45
45= 5 X 9
9 = 3X3
3= 3X 1
72= 2 X 2 X 2 X 3 X 3
225= 5 X 5 X 3 X 3
= 3 X 3 X 2³ X 5²
1800
LCM= " 1800"
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