Find the least no. That is divisible by all the no. Between 1 to 10
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Numbers between 1 to 10 are
2 , 3 , 4 , 5 , 6 , 7 , 8 , 9
Prime factorization of,
2=1×2
3=1×3
4=1×2²
5=1×5
6=1×2×3
7=1×7
8=1×2³
9=1×3²
LCM=product of each prime factor of highest power
LCM=1×2³×3²×5×7
LCM=2520
Hence least number which is exactly divisible by the numbers between 1 to 10 is 2520.
2 , 3 , 4 , 5 , 6 , 7 , 8 , 9
Prime factorization of,
2=1×2
3=1×3
4=1×2²
5=1×5
6=1×2×3
7=1×7
8=1×2³
9=1×3²
LCM=product of each prime factor of highest power
LCM=1×2³×3²×5×7
LCM=2520
Hence least number which is exactly divisible by the numbers between 1 to 10 is 2520.
Roonie0:
o yes correct
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