Knowee
Questions
Features
Study Tools

What is the difference between the L.C.M. of 4,24 and 40 and the G.C.D. of 4, 24 and 40?

Question

What is the difference between the L.C.M. of 4, 24 and 40 and the G.C.D. of 4, 24 and 40?

🧐 Not the exact question you are looking for?Go ask a question

Solution

To answer this question, we first need to find the L.C.M. (Least Common Multiple) and the G.C.D. (Greatest Common Divisor) of the numbers 4, 24, and 40.

Step 1: Find the L.C.M. of 4, 24, and 40 The L.C.M. of multiple numbers is the smallest number that is a multiple of all the numbers.

The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120...

The multiples of 24 are: 24, 48, 72, 96, 120...

The multiples of 40 are: 40, 80, 120...

The smallest number that appears in all three lists is 120. So, the L.C.M. of 4, 24, and 40 is 120.

Step 2: Find the G.C.D. of 4, 24, and 40 The G.C.D. of multiple numbers is the largest number that divides all the numbers without leaving a remainder.

The divisors of 4 are: 1, 2, 4

The divisors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The divisors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

The largest number that appears in all three lists is 4. So, the G.C.D. of 4, 24, and 40 is 4.

Step 3: Find the difference between the L.C.M. and the G.C.D. The difference between the L.C.M. and the G.C.D. is 120 - 4 = 116.

So, the difference between the L.C.M. of 4, 24, and 40 and the G.C.D. of 4, 24, and 40 is 116.

This problem has been solved

Similar Questions

The G.C.D of two numbers is 58 and their L.C.M is 22678. if one of the numbers is 1334, the other number is

The L.C.M of two numbers is 1890 and their H.C.F is 30. If one of them is 270, the other will beOptions210222211231

The G.C.D of two numbers is 58 and their L.C.M is 22678. if one of the numbers is 1334, the other number isChoices:- 1260 986 689 2395

The value of t is 41 more than 24. A. 24 = t ÷ 24 B. t = 41 × 24 C. 41 = t − 24 D. t = 41 + 24

The L.C.M of two numbers is 900. Which of these numbers 300, 100, 200 and 50 cannot be the H.C.F?

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.