3 Digit LCM Questions Worksheet

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Welcome to this worksheet focusing on 3 digit Icm questions. These questions are specially designed to help students practice finding the Least Common Multiple (LCM) for three-digit numbers using different methods like listing multiples, prime factorization, and division.

Section A: Find the LCM by Listing Multiples

  1. Find the LCM of 120 and 150.
  2. Find the LCM of 240 and 360.
  3. Find the LCM of 180, 240, and 360.
  4. Find the LCM of 100, 200, and 300.
  5. Find the LCM of 125, 250, and 500.

Section B: Find the LCM Using the Division Method

  1. Find the LCM of 225 and 375.
  2. Find the LCM of 144, 216, and 432.
  3. Find the LCM of 108 and 324.
  4. Find the LCM of 135, 180, and 270.
  5. Find the LCM of 112, 140, and 168.

Section C: Find the LCM Using Prime Factorization Method

  1. Find the LCM of 120, 180, and 240.
  2. Find the LCM of 128, 256, and 512.
  3. Find the LCM of 315 and 945.
  4. Find the LCM of 225, 375, and 450.
  5. Find the LCM of 144, 288, and 576.

Section D: Word Problems on 3-Digit LCM

  1. Two traffic lights blink at intervals of 225 seconds and 375 seconds, respectively. If they both blinked at the same time at 10:00 AM, when will they blink together again?
  2. Three buses start their routes from the same depot at intervals of 120 minutes, 180 minutes, and 240 minutes. If they all leave the depot at 8:00 AM, when will they leave together again?
  3. A store restocks three items every 150, 200, and 250 days, respectively. How many days will pass before all three items are restocked on the same day?
  4. A clock chimes every 108 seconds and another clock chimes every 324 seconds. If both chimed together at 6:00 AM, when will they chime together next?
  5. A teacher gives three tests every 144, 216, and 432 days. How many days will it take for all three tests to happen on the same day again?

Section E: Multiple Choice Questions (MCQs)

1. The LCM of 150 and 225 is:

(a) 450

(b) 675

(c) 750

(d) 825

2. The LCM of 120, 180, and 240 is:

(a) 360

(b) 720

(c) 480

(d) 600

3. The LCM of 144 and 288 is:

(a) 432

(b) 288

(c) 576

(d) 864

4. The LCM of 112, 140, and 168 is:

(a) 2240

(b) 2520

(c) 3360

(d) 1680

5. The LCM of 125 and 250 is:

(a) 375

(b) 750

(c) 500

(d) 1250

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Answers to 3 Digit LCM Questions Worksheet

Section A: Listing Multiples

  1. 600
  2. 720
  3. 720
  4. 600
  5. 500

Section B: Division Method

  1. 1125
  2. 432
  3. 324
  4. 540
  5. 1680

Section C: Prime Factorization

  1. 720
  2. 512
  3. 945
  4. 2250
  5. 576

Section D: Word Problems

  1. 3:45 PM
  2. 12:00 PM
  3. 300 days
  4. 6:54 AM
  5. 432 days

Section E: MCQs

  1. (c) 750
  2. (b) 720
  3. (c) 576
  4. (b) 2520
  5. (c) 500

This worksheet on 3-digit LCM questions is ideal for middle and high school students to enhance their problem-solving skills. Use this for classroom learning, homework assignments, or practice sessions.

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