Find the sum of all number less than 1000 which are exactly divisible by 2,3,4,5,6,7.
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Answered by
2
Answer:
n=16. We can say that there are 16 numbers which are divisible by 2,3,4 and 5.
Answered by
3
Answer:
Step-by-step explanation:
- WE KNOW HOW TO CALCULATE HOW NUMBERS ARE DIVISIBLE BY EACH NUMBERS ARE DIVISIBLE BY EACH NUMBER THAT IS 2,3,4,5 USING ONE OF KNOWN METHODS LIKE AP CONCEPT.⇒ WE GET DIVISIBLE BY 2-500 NUMBERS ,DIVISIBLE BY 3-333 NUMBERS,DIVISIBLE BY 4-250 NUMBERS,5-140 NUMBERS. NOW COMING TO OUR QUESTION,HOW MAY NUMBERS ARE DIVISIBLE BY ALL 2,3,4,AND 5.∴ NOW LET US CONSIDER LCM OF 2,3,4,5= 60.⇄ NOW USING 60 AS FIRST TERM AND 960 [above 960 and 1000 there is no other number divisible by 60] as nth term and difference [d]=60 ,∴ we can calculate n value ⇒TN=A+[N-1]D →960=60+[N-1] 60 →16=1+[N-1] →N=16,NOW THEREFORE ∴ WE CAN SAY THAT THERE ARE 16 NUMBERS WHICH ARE DIVISIBLE BY 2,3,4,5. SORRY I CAN ONLY FIND THESE NUMBERS IF IT CAN HELP U THEN IT IS GOOD
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