the LCM and HCF of two numbers are 4080 and 34 respectively. If one number is 816. What is the other?
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Answer :
The required number is 170
Step-by-step explanation :
To find,
- The other number
Solution,
Given that,
- The L.C.M and H.C.F of the two numbers are 4080 and 34
- Given, one number is 816
Let us assume the other number as x
As we know that,
Product of two given Numbers = L.C.M × H.C.F
Therefore,
» 816 × x = 4080 × 34
» 816x = 4080 × 34
» 816x = 138720
» x = 170 ★
Hence, the other number is 170.
Now, Verification
As we know that,
Product of two numbers = L.C.M × H.C.F
» 816 × 170 = 4080 × 34
» 138720 = 138720
L.H.S = R.H.S
Hence, Verified !
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