Yes the HCF = 2, but what are those other numbers on the right side? 2.2, 4.2?luigihs said:Highest Common Factor and Lowest Common Multiple of 4 , 6 , 8 , 18
HCF
4 = 2.2
6 = 4.2
8 = 4.2
18 = 2.9
HCF = 2 ?
Yes, and notice that 8 is a multiple of 4, and 18 is a multiple of 6, so it would suffice to just find the LCM of 8 and 18.luigihs said:LCM
4 = 8 , 12 , 16 , 20 , 24 , 28 , 32 ... 72
6 = 12 , 24 , 32 , ... 72
8 = 16 , 24 , 32 ... 72
18 = 36 , 54 , 72
LCM = 72 ??
The HCF of two or more numbers is the largest number that is a factor of all the given numbers. On the other hand, the LCM of two or more numbers is the smallest number that is a multiple of all the given numbers.
To find the HCF, you can use the prime factorization method where you break down each number into its prime factors and then find the common factors among them. To find the LCM, you can use the prime factorization method or the listing method where you list out the multiples of each number and find the smallest number that appears in all the lists.
HCF and LCM are important concepts in mathematics, especially in number theory. They are used in simplifying fractions, finding equivalent fractions, and solving problems related to division and multiplication. They also have applications in real-life situations such as in simplifying recipes or calculating the number of tiles needed to cover a floor.
No, the HCF of two numbers cannot be smaller than the LCM. This is because the HCF is a factor of both numbers, while the LCM is a multiple of both numbers. Therefore, the LCM must be equal to or larger than the HCF.
The HCF and LCM of two numbers are related by the equation: HCF x LCM = product of the two numbers. This means that if you know the HCF and one of the numbers, you can find the LCM by dividing the product of the two numbers by the HCF. Similarly, if you know the LCM and one of the numbers, you can find the HCF by dividing the product of the two numbers by the LCM.