LCM of 5 and 20

LCM of 5 and 20 is the smallest number among all common multiples of 5 and 20. The first few multiples of 5 and 20 are (5, 10, 15, 20, 25, . . . ) and (20, 40, 60, 80, 100, 120, 140, . . . ) respectively. There are 3 commonly used methods to find LCM of 5 and 20 - by listing multiples, by prime factorization, and by division method.

Answer: LCM of 5 and 20 is 20.

Explanation:

The LCM of two non-zero integers, x(5) and y(20), is the smallest positive integer m(20) that is divisible by both x(5) and y(20) without any remainder.

The methods to find the LCM of 5 and 20 are explained below.

• By Division Method
• By Prime Factorization Method
• By Listing Multiples

LCM of 5 and 20 by Division Method

To calculate the LCM of 5 and 20 by the division method, we will divide the numbers(5, 20) by their prime factors (preferably common). The product of these divisors gives the LCM of 5 and 20.

• Step 1: Find the smallest prime number that is a factor of at least one of the numbers, 5 and 20. Write this prime number(2) on the left of the given numbers(5 and 20), separated as per the ladder arrangement.
• Step 2: If any of the given numbers (5, 20) is a multiple of 2, divide it by 2 and write the quotient below it. Bring down any number that is not divisible by the prime number.
• Step 3: Continue the steps until only 1s are left in the last row.

The LCM of 5 and 20 is the product of all prime numbers on the left, i.e. LCM(5, 20) by division method = 2 × 2 × 5 = 20.

LCM of 5 and 20 by Prime Factorization

Prime factorization of 5 and 20 is (5) = 5¹ and (2 × 2 × 5) = 2² × 5¹ respectively. LCM of 5 and 20 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 2² × 5¹ = 20.
Hence, the LCM of 5 and 20 by prime factorization is 20.

LCM of 5 and 20 by Listing Multiples

To calculate the LCM of 5 and 20 by listing out the common multiples, we can follow the given below steps:

• Step 1: List a few multiples of 5 (5, 10, 15, 20, 25, . . . ) and 20 (20, 40, 60, 80, 100, 120, 140, . . . . )
• Step 2: The common multiples from the multiples of 5 and 20 are 20, 40, . . .
• Step 3: The smallest common multiple of 5 and 20 is 20.

∴ The least common multiple of 5 and 20 = 20.

☛ Also Check:

• LCM of 16, 20 and 24 - 240
• LCM of 21 and 24 - 168
• LCM of 22 and 55 - 110
• LCM of 5, 9 and 15 - 45
• LCM of 5, 10, 15 and 30 - 30
• LCM of 6 and 8 - 24
• LCM of 30 and 60 - 60

FAQs on LCM of 5 and 20

What is the LCM of 5 and 20?

The LCM of 5 and 20 is 20. To find the LCM (least common multiple) of 5 and 20, we need to find the multiples of 5 and 20 (multiples of 5 = 5, 10, 15, 20; multiples of 20 = 20, 40, 60, 80) and choose the smallest multiple that is exactly divisible by 5 and 20, i.e., 20.

What is the Relation Between GCF and LCM of 5, 20?

The following equation can be used to express the relation between GCF and LCM of 5 and 20, i.e. GCF × LCM = 5 × 20.

If the LCM of 20 and 5 is 20, Find its GCF.

LCM(20, 5) × GCF(20, 5) = 20 × 5
Since the LCM of 20 and 5 = 20
⇒ 20 × GCF(20, 5) = 100
Therefore, the GCF = 100/20 = 5.

What are the Methods to Find LCM of 5 and 20?

The commonly used methods to find the LCM of 5 and 20 are:

• Listing Multiples
• Prime Factorization Method
• Division Method

Which of the following is the LCM of 5 and 20? 36, 21, 50, 20

The value of LCM of 5, 20 is the smallest common multiple of 5 and 20. The number satisfying the given condition is 20.