LCM of 28 and 42 is the smallest number among all typical multiples the 28 and 42. The first few multiples the 28 and 42 are (28, 56, 84, 112, 140, 168, 196, . . . ) and (42, 84, 126, 168, . . . ) respectively. There space 3 typically used approaches to discover LCM the 28 and also 42 - by prime factorization, by listing multiples, and by division method.

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1.LCM that 28 and 42
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM the 28 and also 42 is 84.

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Explanation:

The LCM of 2 non-zero integers, x(28) and also y(42), is the smallest confident integer m(84) the is divisible by both x(28) and y(42) without any type of remainder.


Let's look at the various methods for finding the LCM the 28 and also 42.

By Listing MultiplesBy prime Factorization MethodBy department Method

LCM that 28 and also 42 by Listing Multiples

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To calculation the LCM the 28 and also 42 by listing out the typical multiples, we have the right to follow the given below steps:

Step 1: perform a couple of multiples that 28 (28, 56, 84, 112, 140, 168, 196, . . . ) and 42 (42, 84, 126, 168, . . . . )Step 2: The common multiples from the multiples the 28 and also 42 are 84, 168, . . .Step 3: The smallest typical multiple that 28 and 42 is 84.

∴ The least usual multiple the 28 and 42 = 84.

LCM of 28 and 42 by prime Factorization

Prime factorization of 28 and also 42 is (2 × 2 × 7) = 22 × 71 and (2 × 3 × 7) = 21 × 31 × 71 respectively. LCM that 28 and also 42 can be acquired by multiply prime components raised to their respective highest power, i.e. 22 × 31 × 71 = 84.Hence, the LCM that 28 and also 42 by element factorization is 84.

LCM that 28 and also 42 by department Method

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To calculate the LCM the 28 and 42 by the division method, we will divide the numbers(28, 42) by your prime factors (preferably common). The product of this divisors gives the LCM the 28 and also 42.

Step 3: proceed the steps until only 1s room left in the critical row.

The LCM of 28 and also 42 is the product of every prime number on the left, i.e. LCM(28, 42) by division method = 2 × 2 × 3 × 7 = 84.

☛ likewise Check:


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FAQs on LCM of 28 and 42

What is the LCM that 28 and also 42?

The LCM that 28 and also 42 is 84. To find the LCM (least usual multiple) the 28 and 42, we need to discover the multiples that 28 and also 42 (multiples of 28 = 28, 56, 84, 112; multiples of 42 = 42, 84, 126, 168) and choose the the smallest multiple that is specifically divisible by 28 and also 42, i.e., 84.

Which the the complying with is the LCM of 28 and 42? 84, 42, 27, 18

The worth of LCM that 28, 42 is the smallest usual multiple the 28 and also 42. The number solve the given problem is 84.

If the LCM the 42 and also 28 is 84, uncover its GCF.

LCM(42, 28) × GCF(42, 28) = 42 × 28Since the LCM of 42 and also 28 = 84⇒ 84 × GCF(42, 28) = 1176Therefore, the GCF = 1176/84 = 14.

What is the least Perfect Square Divisible by 28 and also 42?

The the very least number divisible by 28 and also 42 = LCM(28, 42)LCM that 28 and 42 = 2 × 2 × 3 × 7 ⇒ least perfect square divisible by every 28 and 42 = LCM(28, 42) × 3 × 7 = 1764 Therefore, 1764 is the forced number.

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What is the Relation in between GCF and LCM that 28, 42?

The following equation deserve to be supplied to to express the relation between GCF and LCM that 28 and 42, i.e. GCF × LCM = 28 × 42.