Given:
Numbers: 33, 72, 11, 18
Formula Used:
LCM (Least Common Multiple) = Product of highest powers of all prime factors involved.
Solution:
Prime factorization:
33 = 3 × 11
72 = 2³ × 3²
11 = 11
18 = 2 × 3²
LCM = 2³ × 3² × 11 = 8 × 9 × 11 = 792
Therefore, the smallest natural number divisible by 33, 72, 11 and 18 is 792.
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Three bells start ringing after interval of 20 minutes, 25 minutes and 40 minutes. They ringsimultaneously at 8: 00 am. They will ring simultaneously again at :
The largest four-digit number which when divided by 9, 18 and 23, leaves a remainder 5 in each case, is:
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The LCM of 44, 32, 176 and 352 is:
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