Question
Find the least number of four digits which is exactly divisible by 6, 8 and 16?
Solution
Least four digit number = 1000 So when 1000 is divided by LCM of 6,8 & 16 (i.e.48) , remainder is 40. So when gap of divisor & remainder is added to 1000, it will be completely divided by 48 & answer will be = 1000 +(48-40)= 1000+8 = 1008.
More HCF and LCM Questions
- If the highest common factor of two numbers is 12, then which of the following may be the least common multiple of the numbers?
- Three numbers x, y, and z are co-prime to each other such that xy = 91 and yz = 154. Find the value of (x + y + z).
- The HCF and LCM of two natural numbers are 6 and 36, respectively. What is the difference between the two numbers, if one of the numbers is 18?
- The sum and difference of L.C.M and H.C.F of two numbers is 312 and 208 respectively. If one of the numbers is 52, find the other number.
- Find the difference between sum of digits of LCM and HCF of 54, 72 and 90.
- The LCM of x and y is 2057 and their HCF is 23. If x = 187, what will be the value of y?
- Find the least number of equal sizes square tiles which can be fitted in a rectangular room whose sides are 360 m and 480 m?
- Two numbers are in the ratio 5:7. The product of their H.C.F. and L.C.M. is 5040. The sum of the numbers is:
- Calculate the number of factors of 480.
- Find the LCM of 24, 30, 35, 40.
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