Lcm Of 6 And 3

LCM of 3 and iv

LCM of 3 and iv is the smallest number amongst all mutual multiples of 3 and 4. The offset few multiples of 3 and 4 are (3, vi, 9, 12, fifteen, xviii, 21, . . . ) and (4, 8, 12, 16, xx, . . . ) respectively. There are 3 commonly used methods to observe LCM of 3 and four - by list multiples, past segmentation method, and past prime factorization.

1.	LCM of 3 and iv
2.	List of Methods
iii.	Solved Examples
4.	FAQs

What is the LCM of 3 and iv?

Reply: LCM of 3 and 4 is 12.

Explanation:

The LCM of two non-zero integers, 10(iii) and y(four), is the smallest positive integer m(12) that is divisible past both ten(3) and y(four) without any remainder.

Methods to Find LCM of 3 and four

The methods to find the LCM of three and iv are explained below.

• Past List Multiples
• By Segmentation Method
• Past Prime Factorization Method

LCM of three and 4 past Listing Multiples

To summate the LCM of 3 and 4 by listing out the mutual multiples, we tin follow the given below steps:

• Stride 1: Listing a few multiples of 3 (three, 6, ix, 12, 15, 18, 21, . . . ) and 4 (four, eight, 12, 16, 20, . . . . )
• Step 2: The common multiples from the multiples of 3 and 4 are 12, 24, . . .
• Step 3: The smallest common multiple of 3 and 4 is 12.

∴ The least common multiple of 3 and 4 = 12.

LCM of three and 4 by Partition Method

To calculate the LCM of 3 and iv by the division method, nosotros will separate the numbers(three, four) by their prime factors (preferably common). The product of these divisors gives the LCM of 3 and iv.

• Step one: Find the smallest prime number that is a factor of at to the lowest degree one of the numbers, 3 and 4. Write this prime(2) on the left of the given numbers(iii and iv), separated every bit per the ladder organization.
• Step ii: If any of the given numbers (3, iv) is a multiple of 2, divide it past two and write the quotient below information technology. Bring down whatsoever number that is not divisible by the prime number.
• Step 3: Go along the steps until only 1s are left in the last row.

The LCM of iii and 4 is the production of all prime numbers on the left, i.e. LCM(3, iv) by partition method = two × 2 × three = 12.

LCM of 3 and 4 by Prime Factorization

Prime factorization of three and 4 is (3) = three^ane and (two × 2) = 2² respectively. LCM of 3 and 4 tin can be obtained by multiplying prime factors raised to their respective highest power, i.e. 2² × iiiⁱ = 12.
Hence, the LCM of 3 and four by prime factorization is 12.

☛ Also Bank check:

• LCM of 60 and 72 - 360
• LCM of 6, 7 and 8 - 168
• LCM of 5, 6 and 10 - 30
• LCM of 8 and 10 - xl
• LCM of 8, 12, 15 and 20 - 120
• LCM of 10 and 100 - 100
• LCM of viii, 12 and 24 - 24

FAQs on LCM of 3 and 4

What is the LCM of three and four?

The LCM of 3 and four is 12 . To observe the LCM of 3 and four, we need to find the multiples of 3 and four (multiples of 3 = iii, 6, 9, 12; multiples of 4 = 4, 8, 12, 16) and choose the smallest multiple that is exactly divisible by 3 and 4, i.east., 12.

What is the Relation Between GCF and LCM of 3, four?

The post-obit equation can be used to express the relation between GCF and LCM of 3 and 4, i.e. GCF × LCM = 3 × iv.

If the LCM of four and 3 is 12, Find its GCF.

LCM(4, 3) × GCF(4, three) = 4 × three
Since the LCM of four and three = 12
⇒ 12 × GCF(4, 3) = 12
Therefore, the greatest common factor (GCF) = 12/12 = 1.

Which of the following is the LCM of 3 and iv? 42, 28, 12, 36

The value of LCM of iii, 4 is the smallest common multiple of three and 4. The number satisfying the given condition is 12.

What are the Methods to Find LCM of 3 and 4?

The commonly used methods to find the LCM of 3 and 4 are:

• List Multiples
• Prime Factorization Method
• Division Method

Lcm Of 6 And 3,

Source: https://www.cuemath.com/numbers/lcm-of-3-and-4/

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