For the division of quantities
lcm(9, 12) = 36; hcf(9, 12) = 3.
2 and 20 have an HCF of 2 and an LCM of 20. You could also use 4 and 10.
Write 100 and 120 in their prime compositions in power form: 100 = 223052 120 = 233151 For hcf, take lowest power of each prime across the compositions; for LCM, take highest powers: hcf = 223051 = 4 x 1 x 5 = 20 LCM = 233152 = 8 x 3 x 25 = 600
HCF means the highest common factor of two or more numbers. LCM means the lowest common multiple of two or more numbers.
The HCF helps when reducing fractions. The LCM helps when adding or subtracting fractions.
LCM is 20 and the hcf is 10
HCF = 3... LCM = 18 !
HCF is 60 and the LCM is 360
hcf is 1 and LCM is 35
HCF is 48 and LCM is 576
hcf = 42, lcm = 84.
The HCF is: 2The LCM is: 2,520
weighing scales
The HCF is always a factor of the LCM of two numbers. The HCF is a factor of both the numbers which are factors of their LCM. Thus the HCF is also a factor of the LCM of the two numbers.
hcf: 1 lcm: 112,038
LCM is used to find the lowest common denominator in fractions HCF is used to reduce fractions to their simplest terms