Math, asked by hukmichanddevda8, 11 months ago

Find the l.c.mof 12,18 and find the g.c.d using the relation between l.c.m and g.c.d ​

Answers

Answered by nichala23
2

Step-by-step explanation:

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Answered by Glamoroustarz
1

Hey there!! here is your answer...Hope it helped!! please mark as the brainliest answer!!

Answer:

To answer your question, let me tell you what is the meaning of LCM and GCD.

What is LCM?

Ans. LCM is nothing but lowest common multiple. The LCM of 2 or more  numbers is the least multiple that is common between the 2 of them . For eg: the lcm of 2 and 4 is 4.

What is GCD?

Ans. GCD Is nothing but greatest common divisor. The GCD Of 2 or more numbers is the highest number that the both of them can be divided with without any remainder. For Eg: The GCD Of 2, 4 is 2.

How are GCD and  LCM related?

Ans.  the product of the two numbers are always equal toThe product of the GCD and LCM of any two numbers . eg: the lcm of 2 and 4 is 4 and the GCD Of 2, 4 is 2. LCM*GCD=2*4

4*2=2*4

8=8

Step-by-step explanation:

So, following the definition of GCD and LCM , and the relation between them, let us answer your question:

Find the l.c.mof 12,18 and find the g.c.d using the relation between l.c.m and g.c.d ​

Ans. LCM of 12,18= 2 | 12,18

                               3  |  6,9

                               2  |  2,3

                               3  |    1,3

                                        1,1

LCM of 12,18= 2*3*2*3=36.

2nd part of the question:

find the g.c.d using the relation between l.c.m and g.c.d ​

So, following the relation between lcm and gcd:

the product of the two numbers are always equal toThe product of the GCD and LCM of any two numbers .

So, GCD*LCM=12*18

GCD*36=216

GCD=216 Divided by 36

GCD= 6

Hope it helped you! Please mark as the brainliest answer!! :)

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