Question

find the least no.which when divided by 70,140,350 leaves remainder 7 in each cases​

Answer 1

Answer:

Step-by-step explanation:it is given that

The least number which divides 70,140 ,and 350 leaves reminder 7

We need to find least number

Now,

70=2×5×7

140=2×2×5×7

350=2×2×2×5×7

Therefore, the LCMof 70 ,140 and 350 gives us the least number that gives us reminder 7

LCM(70,140and 350)=2×2×2×5×7

=280

Now the number is 280 +7

=287

Hence the least number is 287that divides 70,140and350 leaving reminder 7