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?
Solution
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 = 5040
More HCF and LCM Questions
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- The product of two numbers is 1344 and their L.C.M is 168. What is the H.C.F of the two numbers?
- The H.C.F. of two numbers is 16 and the other two factors of their L.C.M. are 4 and 13. The larger of the two numbers is:
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