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Răspuns :

Renatemambouko
a=24=2³×3
b=100=2²×5²
[a,b]=2³×3×5²=600
(a,b)=2²=4

a×b=24×100=2400
[a,b]×(a,b)=600×4=2400



Chris02Junior
a = 24, b = 100 si descompunem in factori primi
a = 2^3 x 3
b = 2^2 x 5^2
cmmdc (a,b) = 2^2 = 4
cmmmc [a,b] = 2^3 x 3 x 5^2 = 8 x 3 x 25 = 200 x 3 = 600
Verificam (a,b) x [a,b] = 4 x 600 = 2400 = a x b = 2400