Find the least number which when divided by 25, 40 and 60 leaves a remainder 7 in each case.
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Answer:
LCM of 25,40,60 =600
Remainder =7
600+7=607 is the required no.
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Step-by-step explanation:
the required no. = LCM(25,40,60)+7
25 = 5×5 = 5²
40 = 2×2×2×5 = 2³×5
60 = 2×2×3×5 = 2²×3×5
LCM = highest power of factors = 2³×3×5² = 600
So, the required no = 600+7 = 607
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