find the greatest Number by which each of 306 , 810, and 224 are exactly divisible
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Hlw mate
LCM of 12, 16, 24, 28 and 36
12= 3×2×2
16=2×2×2×2
24=2×2×2×3
28=2×2×7
36=2×2×3×3
so, LCM is 2×2×2×2×3×3×7= 1008
And the greatest 4-digit no. is 9999
so, dividing 9999 by 1008 we get, 9 as quotient and 927 as reminder .
So, the largest 4-digit no. divisible by all these nos. is 9999-927= 9072
Hope it helpful
LCM of 12, 16, 24, 28 and 36
12= 3×2×2
16=2×2×2×2
24=2×2×2×3
28=2×2×7
36=2×2×3×3
so, LCM is 2×2×2×2×3×3×7= 1008
And the greatest 4-digit no. is 9999
so, dividing 9999 by 1008 we get, 9 as quotient and 927 as reminder .
So, the largest 4-digit no. divisible by all these nos. is 9999-927= 9072
Hope it helpful
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