Question

Find The least Number of 4 digits which is divisible by 4,6,8,10​

Answer 1

Answer:

To find the least four digit number which is divisible by 4,6,8 and 10, follow these steps :

Step-1 : Factorization of each number

Step-1 : Factorization of each number4=2×2

Step-1 : Factorization of each number4=2×26=2×3

Step-1 : Factorization of each number4=2×26=2×38=2×2×2

Step-1 : Factorization of each number4=2×26=2×38=2×2×210=2×5

Step-2: Find the LCM of 4,6,8 and 10

LCM of 4,6,8 and 10=2×2×2×5×3=120

LCM of 4,6,8 and 10=2×2×2×5×3=120Hence,LCM=120.

Step-3: To find the least 4 digit number divisible by 4,6,8 and 10.

Now, Generally the least four digit number is 1000 ..But the LCM is 120 of 4,6,8 and 10.

now, 120 ×7=840

now, 120 ×7=840120×8=960

now, 120 ×7=840120×8=960120×9=1080

1080 is the final answer . Hence , 1080 is the least four digit number which is divisible by 4,6,8 and 10.

Step-by-step explanation:

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