The smallest number which when diminished by 3 is divisible by 14,28,36,and 45 is
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2
The prime factorization of 14,28,36,45 is:
Factors of 14 = 2 * 7
Factors of 28 = 2 * 2 * 7
Factors of 36 = 2 * 2 * 3 * 3
Factors of 45 = 3 * 3 * 5.
LCM(14,28,36,45) = 2 * 2 * 7 * 3 * 3 * 5
= > 1260.
Therefore, the smallest number = 1260 + 3 =1263.
Answered by
7
The prime factorization of 14,28,36,45 is:
Factors of 14 = 2 * 7
Factors of 28 = 2 * 2 * 7
Factors of 36 = 2 * 2 * 3 * 3
Factors of 45 = 3 * 3 * 5.
LCM(14,28,36,45) = 2 * 2 * 7 * 3 * 3 * 5
= > 1260.
1260 +3 = 1263
this is your smallest number
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