Find the least number which when divided by 27,35,45,49 leaves remainder 6 in each case
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ANSWER = 6621
The least number which is divide by 27, 35, 45, 49 is their LCM.
27 = 3 × 3 × 3
35 = 5 × 7
45 = 3 × 3 ×5
49 = 7 × 7
So their LCM = 3 ×3 × 3 ×5 × 7 × 7 = 6615
Now just add 6 to 6615, to get the required number.
Required number = 6615 + 6 = 6621
The least number which is divide by 27, 35, 45, 49 is their LCM.
27 = 3 × 3 × 3
35 = 5 × 7
45 = 3 × 3 ×5
49 = 7 × 7
So their LCM = 3 ×3 × 3 ×5 × 7 × 7 = 6615
Now just add 6 to 6615, to get the required number.
Required number = 6615 + 6 = 6621
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