friends in this post we discuss about SHORTCUT TECHNIQUE OF FINDING HCF AND LCM and their example. so you can easily find hcf and lcm in two or more than two numbers. this post will help you to find the difference between them. this is also helpful in various competition exam as well. i hope when you quit from this post you will definitely get benefit from this easy way of finding hcf and lcm.
WHAT IS HCF AND LCM
HCF (HIGHEST COMMON FACTOR)- THE HCF OF TWO OR MORE THAN TWO NUMBERS IS THE GREATEST NUMBER THAT DIVIDES EACH OF THEM EXACTLY.
LCM (LEAST COMMON MULTIPLE)- THE LEAST NUMBER WHICH IS EXACTLY DIVISIBLE BY EACH ONE OF THE GIVEN NUMBERS IS CALLED THEIR LCM.
Find the HCF AND LCM OF 42 AND 63
HCF (HIGHEST COMMON FACTOR)
COMMON FACTORS=7×3 =21
21 IS THE HIGHEST NUMBER THAT DIVIDES 42,63, i.e 21 IS THE HCF of 42 and 63
LCM (LEAST COMMON MULTIPLE)
UNCOMMON FACTORS= HCF×UNCOMMON FACTORS
21×2×3=126
SHORT CUT METHOD OF FINDING LCM
42×63/HCF
ANSWER: 126
126 is the least number that divisible by 42,62. i.e 126 is the lcm of 42 and 63
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Thanks but I have a doubt in your trick of lcm.
What if I have to find the lcm of multiple numbrrs say 72, 108, 2100. Pls help!!