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135 LearnersLast updated on November 29th, 2024
LCM of 20 and 28
The smallest integer that divides the numbers with no numbers left behind is the LCM of 20 and 28. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music. In this article, let’s now learn to find LCMs of 20 and 28.
What is LCM of 20 and 28
We can find the LCM using the listing multiples method, prime factorization method and the long division method. These methods are explained here, apply a method that fits your understanding well.
LCM of 20 and 28 using listing multiples method
List the multiples of each of the numbers;
20 = 20,40,60,80,100,120,140,…
28 =28,56,84,112,140,…
Find the smallest number in both the lists
LCM (20,28) = 140
LCM of 20 and 28 using prime factorization method
Prime factorize the numbers
20 = 2×2×5
28= 2×2×7
find the highest powers
2,2,5,7
Multiply the highest powers of the numbers
LCM(20,28) = 140
LCM of 20 and 28 using division method
- Write the numbers in a row
- Divide them with a common prime factor
- Carry forward numbers that are left undivided
- Continue dividing until the remainder is ‘1’
- Multiply the divisors to find the LCM
- LCM (20,28)= 140
Common mistakes and how to avoid them while finding the LCM of 20 and 28
LCM of 20 and 28 Examples
Problem 1
The LCM of 20 and 28 is what percentage of their product?
Explanation
Problem 2
The LCM of two numbers is 140, and one of the numbers is 28. If the LCM is 70% of the product of the two numbers, find the other number.
Explanation
Problem 3
Verify the relationship LCM (20,28)×GCF(20,28)=20×28.
Explanation
FAQs on the LCM of 20 and 28
1. What is the GCF of 20 and 28?
2.What is the LCM of 20,28 and 36 ?
3.What is the LCM of 20,24 and 28?
4.What is the LCM of 20 and 18?
5.What is the LCM of 20 and 27?
Important glossaries for LCM of 20 and 28
- Multiple: the result after multiplication of a number and an integer. To explain, 20×5 =100; 100 is a multiple of 20.
- Prime Factor: A number with only two factors, 1 and the number. For example,7, its factors are only 1 and 7 and the number when divided by any other integer will leave a remainder behind.
- Prime Factorization: breaking a number down into its prime factors. For example, 20 is written as the product of 2×2×5.
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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.
Fun Fact
: She loves to read number jokes and games.
