Question
span >The LCM of six consecutive numbers is 420. The sum of the first and fourth numbers is equal to the sixth number. What is the product of six numbers?
Therefore, 420 = 2 × 2 × × 3 × 5 × 7 i.e, numbers are 2, 3, 4, 5, 6 and 7 Therefore, products is = 2 × 3 × 4 × 5 × 6 × 7 = 5040 Alternate method: Let the numbers be x, x + 1, x + 2, x + 3, x + 4, x + 5 Given that Sum of the first and fourth numbers is equal to the sixth number so, x + x + 3 = x + 5 x = 2 numbers are 2, 3, 4, 5, 6 and 7 Therefore, products is = 2 × 3 × 4 × 5 × 6 × 7 = 5040More HCF and LCM Questions
- The sum of two numbers is 99 and their HCF is 9. Total number of such pairs of numbers is?
- If the product of two numbers is 432 and their HCF is 12, what will be their LCM?
- Find the difference between sum of digits of LCM and HCF of 25, 50 and 75.
- Three numbers a, b and c are co-prime to each other such that ab = 88 and bc = 33. Find the value of (a + b + c).
- Three numbers are in the ratio 2:3:6 respectively. If the HCF of the numbers is 5, then find the LCM of the numbers.
- Find the HCF of 3341 and 3328.
- A boy can swim in still water at a speed of 8 km/hr. If the speed of the current would have been 3 km/hr, then the boy could swim 55 km
- Find the greatest number that will divide 115, 149 and 183 leaving remainders 3, 5, 7 respectively.
- The ratio of two numbers is 12:14 and their LCM is 168. The numbers are:
- The sum of two numbers is 96 and their HCF is 12. Total number of such pairs is?
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