LCM that 28 and also 42 is the the smallest number among all typical multiples that 28 and also 42. The first couple of multiples that 28 and 42 space (28, 56, 84, 112, 140, 168, 196, . . . ) and also (42, 84, 126, 168, . . . ) respectively. There are 3 commonly used techniques to uncover LCM the 28 and 42 - by element factorization, through listing multiples, and by division method.

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

Answer: LCM of 28 and 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 also y(42) without any type of remainder.


Let's look in ~ the different methods for finding the LCM the 28 and 42.

By Listing MultiplesBy prime Factorization MethodBy division Method

LCM of 28 and 42 by Listing Multiples

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To calculate the LCM of 28 and also 42 by listing out the common multiples, we can follow the given listed below steps:

Step 1: list a few multiples the 28 (28, 56, 84, 112, 140, 168, 196, . . . ) and 42 (42, 84, 126, 168, . . . . )Step 2: The typical multiples indigenous the multiples the 28 and also 42 room 84, 168, . . .Step 3: The smallest typical multiple of 28 and also 42 is 84.

∴ The least common multiple the 28 and also 42 = 84.

LCM of 28 and also 42 by prime Factorization

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

LCM that 28 and 42 by department Method

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To calculation the LCM of 28 and 42 by the department method, we will divide the numbers(28, 42) by their prime components (preferably common). The product of these divisors provides the LCM of 28 and 42.

Step 3: continue the steps until just 1s room left in the last row.

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

☛ additionally Check:


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FAQs top top LCM the 28 and 42

What is the LCM of 28 and 42?

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

Which that the following is the LCM of 28 and also 42? 84, 42, 27, 18

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

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

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

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

The the very least number divisible by 28 and also 42 = LCM(28, 42)LCM the 28 and 42 = 2 × 2 × 3 × 7 ⇒ the very 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 also LCM the 28, 42?

The following equation have the right to be supplied to express the relation in between GCF and LCM of 28 and also 42, i.e. GCF × LCM = 28 × 42.