By using the Venn diagram, the LCM is 90 and HCF is 6.
The full form of LCM is Least Common Multiple. The LCM defines the least number which is exactly divisible by two or more numbers. When we have to find a number larger than given numbers, then we find LCM.
The full form of HCF is the Highest Common Factor. The HCF defines the greatest factor present in between given two or more numbers. If we have to find smaller number, then we find HCF.
For the given situation,
The numbers are 30 and 18.
The factors of [tex]30=2,3,5[/tex]
The factors of [tex]18 = 2,3,3[/tex]
The venn diagram below shows the LCM and HCF of the two numbers.
In venn diagram, the intersection of two numbers gives the HCF and the union of two numbers gives the LCM.
Thus, LCM = [tex](2,3,5)[/tex] ∪ [tex](2,3,3)[/tex]
⇒ LCM = [tex]90[/tex]
and
HCF = [tex](2,3,5)[/tex] ∩ [tex](2,3,3)[/tex]
⇒ HCF = [tex]6[/tex]
Hence we can conclude that by using the Venn diagram, the LCM is 90 and HCF is 6.
Learn more about LCM and HCF here
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