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Last updated on November 29th, 2024

LCM of 5 and 20

Q: What is the LCM of 5,12 and 15?

60 is the smallest number that appears commonly on the lists of the numbers 5,12 and 15. LCM (5,12,15) = 60

Q: What is the HCF of 12 and 15?

HCF of 12 and 15 can be found by listing the factors of the numbers → finding the largest common factor from the list of numbers. Factors of 12 = 1,2,3,4,6,12 Factors of 15 = 1,3,5,15 HCF (12,15) = 3

Q: What is the LCM of 15 and 21?

LCM (15,21) = 105 105 is the smallest number that appears commonly on the lists of the numbers 15 and 21.

Q: What is the LCM of 48 and 60?

240 is the smallest number that appears commonly on the lists of the numbers 48 and 60. LCM (48,60) = 240

Q: What is the LCM of 9 and 33?

LCM (9,33)= 99 99 is the smallest number that appears commonly on the lists of the numbers 9 and 33.

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

LCM is a common multiple, the smallest value between the numbers 5 and 20. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music.

What is the LCM of 5 and 20?

The LCM of 5 and 20 is 20. We can find the LCM using the Listing multiples method, the prime factorization method and the long division method. These are explained below.

LCM of 5 and 20 Using Listing the Multiples

Step 1: Write down the multiples of the numbers. Don’t stop too early.

Multiples of 5 = 5,10,15,20,25,…

Multiples of 20 = 20,40,60,80…

Step 2: Find the smallest number common between the written multiples of 5 and 20

The smallest common multiple is 20

Thus, LCM(5,20) = 20

LCM of 5 and 20 Using Prime Factorization

Step 1: factorize the numbers into its prime factors

5 = 5

20 = 2×2×5

Step 2: find the highest powers of the factors of 5 and 20

Step 3: Multiply the highest powers

LCM(5,20) = 20

LCM of 5 and 20 Using Division Method

Write the numbers 5,20 in a row

Divide them by their common prime factors, if there is one

Carry forward the numbers that are left undivided by the previously chosen factor

Continue dividing until the remainder is ‘1’

Multiply the divisors to find the LCM

LCM(5,20) = 20

Common Mistakes and how to avoid them while finding the LCM of 5 and 20

LCM of 5 and 20 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Callie and Dan meet every 5 days and 20 days, respectively. They meet today, September 1, how many days will it be before they meet again?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Problem 2

Ascertain the smallest positive integer solution x to the equation given below, using the LCM of 5 and 20. x=0 (mod 5) and x=0 (mod 20)

Explanation

Problem 3

If an integer x is divisible by 5 and 20, express x as a multiple of LCM of 5 and 20. Also, find x.

Explanation

FAQ’s on the LCM of 5 and 20

1.What is the LCM of 5,12 and 15?

2.What is the HCF of 12 and 15?

3.What is the LCM of 15 and 21?

4.What is the LCM of 48 and 60?

5.What is the LCM of 9 and 33?

Important glossaries on the LCM of 5 and 20

Multiple — product of a number and a natural integer

Prime factor — number one gets after prime factorization any given number

Prime factorization — the process of breaking the number into its prime factors.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.