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
Step-by-step explanation:
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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
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