Question

2. In a lighting, the green light glows after
every 12 seconds, the red light glows after
every 30 seconds, the blue light glows after
every 34 seconds and the yellow light glows
after every 56 seconds. Find the least time in
minutes after which they all glow together.​

Answer 1

Answer:

238 minutes

Step-by-step explanation:

We are told:

In a lighting, green light glows after every 12 seconds, red light glows after every 30 seconds, blue light glows after every 34 seconds and yellow light glows after every 56 seconds.

We solve this question by using LCM Method

We find the Least Common Multiple of 12, 30, 36 and 56

= 14,280 seconds.

Hence, the least time in seconds after which they glow together is 14,280 seconds.

To find the least time in minutes after which they all glow together.​

We convert from seconds to minutes

60 seconds = 1 minute

14280 seconds = x

Cross Multiply

60 × x = 14280 × 1

x = 14280/60

x = 238 minutes

The least time in minutes after which they all glow together.​

238 minutes