Find the smallest 5 digit number divisible by 15 24 and 36
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factors of 15= 3×5
=3^1×5^1
factors of 24=2×2×2×3
=2^3×3^1
factors of 36=2×2×3×3
=2^2×3^2
LCM= 5^1×3^2×2^3
=5×3×3×2×2×2
= 360
the 5 digit no should be multiple of 360.
smallest 5 digit no = 10000
let divide 10000 by 360 .
r = 280.
10280 is the 5 digit smallest no. divisible by 15,24and36.
=3^1×5^1
factors of 24=2×2×2×3
=2^3×3^1
factors of 36=2×2×3×3
=2^2×3^2
LCM= 5^1×3^2×2^3
=5×3×3×2×2×2
= 360
the 5 digit no should be multiple of 360.
smallest 5 digit no = 10000
let divide 10000 by 360 .
r = 280.
10280 is the 5 digit smallest no. divisible by 15,24and36.
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