Advertisements
Advertisements
Question
The HCF of two numbers is 18 and their product is 12960. Find their LCM.
Solution
HCF of two numbers = 18
Product of two numbers = 12960
Let their LCM be x.
Using the formula, product of two numbers = HCF × LCM
we conclude that
12960 = 18 × x
x =` 12960 / 18`
= 720
Hence, their LCM is 720.
APPEARS IN
RELATED QUESTIONS
Show that every positive even integer is of the form 4m and that every positive odd integer is of the form 4m + 1 for some integer m.
Using prime factorization, find the HCF and LCM of 23, 31 In case verify that HCF × LCM = product of given numbers.
Find the largest number which divides 438 and 606 leaving remainder 6 in each case.
Three sets of English, Mathematics and Science books containing 336, 240 and 96 books respectively have to be stacked in such a way that all the books are stored subject wise and the height of each stack is the same. How many stacks will be there?
Express each of the following integers as a product of its prime factors:
420
If the LCM of a and 18 is 36 and the HCF of a and 18 is 2, then a =
Which of the following rational numbers have terminating decimal?
Express 429 as a product of its prime factors.
The largest number that will divide 398,436 and 542 leaving remainders 7,11 and 15 respectively is ______.
The numbers 525 and 3000 are both divisible only by 3, 5, 15, 25 and 75. What is HCF (525, 3000)? Justify your answer.
