LCM (Least Common Multiple) || Introduction || Lesson-1

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[atheisttttt]

Shortcut Explained:
*Case 1* : no prime numbers present
choose the largest number and check if it's divisible by all remaining numbers -
if yes, then it's the LCM
if no, then multiply it by 2 and check again
if still not divisible, then multiply it by 3 and check again
Repeat until it is divisible by all other numbers
eg 12 6 24 8

*Case 2* : if prime present + other number are not divisible by it ( or in other words, other number is not a multiple of seven )
Example 1 :
4 6 7
7 is a prime and other numbers are not divisible by seven ( or they are not a multiple of seven ) - hence keep it (aside)
Between 4 and 6 - 6 is greater which is not divisible by 4
6*2 = 12 is divisible by 4
So LCM = 12 * (7) = 84
Example 2 :
7 10 12
7 is a prime and other numbers are not divisible by seven ( or they are not a multiple of 7 ) - hence keep it (aside)
Between 10 and 12 - 12 is greater but not divisible by 10
Then if we keep multiplying 12 by x1 x2 x3 x4 We will get 12x5=60 which is divisible by 10
So LCM = 60 * (7) = 420

*Case 3* : if prime present + other number are divisible by it ( or in other words, other number is a multiple of seven )
Then DO NOT keep it aside.
Proceed normally like case 1
Example 1 :
7 8 14
7 is prime but 14 is divisible by seven ( or is a multiple of 7 )
Hence do not keep it aside.

[vaishnaviravuri]

Sir, at 18:56, you mentioned that there are no prime numbers. However, 3 is prime.

[ice.instituteofcompetitiveexam]

Lcm and hcf complete session( 3 lectures... )💥💥💥

[naazirayash]

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[manneratnakumari]

Sir in 3rd and 4th question '3' is also a prime number

[gowthamkumar]

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[laxmanjotennavar]

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[zahid_]

Sir the lecture was comprehensive really but I got so confused in 3 as 3 is the prime no

[sayibpanickar]

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[srikark]

sir in shot cut method 3 example : 3 is a prime number

[sunithasb]

In shortcut method question number 3 contains 3 and it is prime number

[reddy.......]

In short cut method 3rd example 3 is a prime number, as per ur explanation the third question answer is 108 sir. Please give me the reply as soon as possible.

[sonalisonar]

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[ezhilvathani]

question 3 in short cut method 3 is prime number right? Confused can u clarify sir

[IreneCool]

I’m 5th grade but I still understood whatever he said! You are a good teacher

[Sirigowda]

What about 3 .... Plz clarify this doubt... In question number 4 ) 3 11 also a prime number but you focused on 11 why not on 3

[tulipansari]

Sir you are the best teacher for teaching maths for competitive exams. The most important thing is that you teach in a very patient manner. Therefore slow and dumb students like me can easily understand and grasp the concept.

[pavankohli]

I think this is the best class for LCM in YouTube

[tanishqsatheesh]

00:06 Introduction to LCM and its importance in competitive exams.
02:07 Learn multiple methods to find LCM.
04:05 Finding the least common multiple (LCM) of multiple numbers.
06:15 Traditional and factorization methods for finding LCM
08:11 Explaining how to find the LCM using factorization method
10:02 Finding LCM using factorization method
11:56 Start with the smaller number when finding LCM
13:47 Long division method is essential for finding LCM
15:47 Identify the LCM by checking for divisibility
17:42 Finding LCM by checking divisibility of numbers
19:32 Finding LCM using division method
21:13 To find the lcm, practice is key.

[play_short]

12, 3, 9 = 108 LCM As 3 is a prime number