Given:
The numbers are 75, 45, 180, and 110.
Formula Used:
The Least Common Multiple (LCM) can be found using prime factorization:
Solution:
Prime factorization of 75 = 3 × 5²
Prime factorization of 45= 3² × 5
Prime factorization of 180 = 2² × 3² × 5
Prime factorization of 110 = 2 × 5 × 11
LCM = 2² × 3² × 5² × 11 = 9900
Thus, the LCM of 75, 45, 180, and 110 is 9900.
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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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