For two numbers x and y, if xy = 1344 and HCF (x, y) = 8,
then find LCM (x, y).
Answers
Answer:
LCM(x, y) =168
Step-by-step explanation:
LCM(x, y) × HCF(x, y) = xy
LCM(x, y) = xy/HCF(x, y)
= 1344/8
= 168
The LCM of two numbers x and y is 168 if HCF is 8 and the product of two numbers are 1344.
Given :
Product of two numbers, xy = 1344
HCF (x, y) = 8
To find : LCM of two numbers x and y
Formula used :
HCF (x, y) × LCM (x, y) = first number × Other number
HCF (x, y) × LCM (x, y) = x × y
HCF (x, y) × LCM (x, y) = Product of two numbers (x,y)
SOLUTION :
Step 1 : Substitute the value of HCF and the Product of two numbers in the above formula:
HCF of two numbers x and y = 8 , Product of two numbers x and y = 1344
As we know that,
HCF (x, y) × LCM (x, y) = Product of two numbers
8 × LCM (x, y) = 1344
Step 2: Find LCM:
LCM (x, y) = 1344 ÷ 8
LCM (x, y) = 168
Hence, the LCM of the two numbers x and y is 168.
Learn more on Brainly:
If HCF (26, 169) = 13, then LCM (26, 169) =
brainly.in/question/15917259
Find the LCM and HCF of the following pairs of integers and verify that LCM x HCF = product of the integers:
(i)26 and 91
(ii)510 and 92
brainly.in/question/6695467
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