Thats a question solve it first
Answers
Answer:
LCM of 80,85,90
= 9240
They should walk at 9240 speed so that they can cover the same distance.
Answer:
Here first we will check the units of the lengths of the steps and then we will take the LCM of the three quantities by writing the factors of each length using the prime factorization method.
The LCM will give the minimum distance that each of the three persons should cover in order to cover the same distance.
Step-by-step explanation:
The measure of steps are 80 cm, 85 cm and 90
cm.
Now since the units of each of the length is the same hence we can take the LCM of these terms.
So first we will factorize these terms into their prime factors using the prime factorization
method.
Let us first write the factors of 80:
80
Now let us factorize 85:
85 = 2 × 2 × 2 × 2 × 5
Now let us factorize 90:
90 2 × 3 × 3 × 5
Now we will take the LCM
We know that LCM is the least common factor
of three of the numbers.
Hence, LCM of the three numbers is:
LCM = 2 × 2 × 2 × 2 × 5 × 3 × 3 × 17
Solving it we get:
LCM 12240cm
Converting it into meter we get:
LCM 12240cm 122m40cm
Hence, the minimum distance each person should walk so that all can cover the same distance in complete steps is 12240 cm. or
122m 40cm.