The least number that is divisible by all the numbers from one to ten (both inclusive) is??
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Step-by-step explanation:
The least number divisible by all the number from 1 to 10 will be the L.C.M of following number,
1=1
1=12=2×1
1=12=2×13=3×1
1=12=2×13=3×14=2×2
1=12=2×13=3×14=2×25=5×1
1=12=2×13=3×14=2×25=5×16=2×3
1=12=2×13=3×14=2×25=5×16=2×37=7×1
1=12=2×13=3×14=2×25=5×16=2×37=7×18=2×2×2
1=12=2×13=3×14=2×25=5×16=2×37=7×18=2×2×29=3×3
1=12=2×13=3×14=2×25=5×16=2×37=7×18=2×2×29=3×310=2×5
So, the L.C.M. of these number is 1×2×2×2×3×3×5×7=2520
Hence, the least number divisible by all the numbers from 1 to 10 is 2520
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