Consecutive Sums Generalized

Number Theory Level pending

Suppose a , b , and c are all even natural numbers and d , e and f are all odd natural numbers. Find the smallest integer that can be expressed as the sum of a , b , c , d , e , and f consecutive numbers.

LCM(a, b, c) * (d * e * f) ÷ 2 LCM(a, b, c) * (d + e + f) ÷ 8 LCM(d, e, f) * (a * b * c) ÷ 2 LCM(d, e, f) * (a + b + c) ÷ 8 LCM(a, b, c) * (d * e * f) ÷ 8 LCM(d, e, f) * (a * b * c) ÷ 8 LCM(d, e, f) * (a + b + c) ÷ 2 LCM(a, b, c) * (d + e + f) ÷ 2

Ashwin Padaki by Ashwin Padaki , 20, USA

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