Three measuring rods are 64 CM 80 cm and 96 CM in length Find the least length of cloth that can be measured and exact number of times using any of the rods
how we will be able to find out that we have to find hcf or lcm ?
Answers
Step-by-step explanation:
Length of the three measuring rods are 64cm, 80cm and 96cm, respectively.
∴ Length of cloth that can be measured an exact number of times = LCM (64, 80, 96)
Prime factorization:
64 = 26
80 = 24 × 5
96 = 25 × 3
∴ LCM = product of greatest power of each prime factor involved in the numbers = 26 × 3 × 5 = 960cm = 9.6m
Hence, the required length of cloth is 9.6m.
LCM (Least common multiple) is completely divisible by a given set of numbers. For example, 20 is completely divisible by 2, 4, 5, 10 & 20. LCM is 2, 4, 5, 10 & 20.
So, whenever you are required to find a number that is divisible by more than one number, you have to find LCM.
HCF (Highest Common Factor) is completely divides a given set of number. For example, 25 divides 50, 75, 100, 125, 725, 950. So, whenever you are required to find a number that completely divides more than one number, you have to find HCF.
Answer:
Step-by-step explanation:
16
I recognized it isHCF cuz the word LEAST