Find the largest five digit number that is divisible by 7, 10, 15, 21 and 28.
-75758
75758
99960
-99960

Question

Find the largest five digit number that is divisible by 7- 10- 15- 21 and 28-757587575899960-99960

Toppr Admin · Accepted Answer

LCM of 7-10-15-21-28 is 7-xD7-2-xD7-5-xD7-3-xD7-2-420the five digits number must be multiple of 420the largest number must be multiple of LCM-x2234- the largest four digits number is 420-xD7-238-99960

Find the largest five digit number that is divisible by 7, 10, 15, 21 and 28.-757587575899960-99960

LCM of 7,10,15,21,28 is 7×2×5×3×2=420the five digits number must be multiple of 420the largest number must be multiple of LCM∴ the largest four digits number is 420×238=99960

Find the largest five digit number that is divisible by 7, 10, 15, 21 and 28.
-75758
75758
99960
-99960

$L C M$ of $7, 10, 15, 21, 28$ is $7 \times 2 \times 5 \times 3 \times 2 = 420$
the five digits number must be multiple of $420$
the largest number must be multiple of $L C M$
$∴$ the largest four digits number is $420 \times 238 = 99960$