LCM of 14 and 49 is the the smallest number among all usual multiples that 14 and 49. The first few multiples the 14 and also 49 room (14, 28, 42, 56, . . . ) and also (49, 98, 147, 196, 245, 294, . . . ) respectively. There room 3 typically used methods to discover LCM that 14 and 49 - by listing multiples, by department method, and also by element factorization.

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1.LCM of 14 and 49
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM of 14 and also 49 is 98.

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Explanation:

The LCM of 2 non-zero integers, x(14) and y(49), is the smallest optimistic integer m(98) that is divisible through both x(14) and also y(49) without any type of remainder.


Let's look at the different methods for finding the LCM that 14 and also 49.

By element Factorization MethodBy Listing MultiplesBy division Method

LCM the 14 and also 49 by element Factorization

Prime administrate of 14 and also 49 is (2 × 7) = 21 × 71 and also (7 × 7) = 72 respectively. LCM that 14 and also 49 have the right to be derived by multiply prime factors raised to their respective highest power, i.e. 21 × 72 = 98.Hence, the LCM that 14 and 49 by prime factorization is 98.

LCM of 14 and 49 by Listing Multiples

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To calculate the LCM the 14 and 49 by listing the end the typical multiples, we have the right to follow the given below steps:

Step 1: perform a couple of multiples the 14 (14, 28, 42, 56, . . . ) and also 49 (49, 98, 147, 196, 245, 294, . . . . )Step 2: The typical multiples from the multiples of 14 and also 49 are 98, 196, . . .Step 3: The smallest usual multiple of 14 and also 49 is 98.

∴ The least typical multiple of 14 and 49 = 98.

LCM the 14 and 49 by department Method

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To calculate the LCM the 14 and 49 by the department method, we will certainly divide the numbers(14, 49) by your prime determinants (preferably common). The product of these divisors gives the LCM of 14 and also 49.

Step 3: proceed the actions until only 1s space left in the critical row.

The LCM that 14 and also 49 is the product of every prime number on the left, i.e. LCM(14, 49) by division method = 2 × 7 × 7 = 98.

☛ also Check:


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FAQs on LCM the 14 and also 49

What is the LCM that 14 and 49?

The LCM that 14 and also 49 is 98. To uncover the LCM (least typical multiple) that 14 and 49, we need to uncover the multiples of 14 and also 49 (multiples of 14 = 14, 28, 42, 56 . . . . 98; multiples of 49 = 49, 98, 147, 196) and choose the the smallest multiple that is specifically divisible by 14 and 49, i.e., 98.

How to discover the LCM of 14 and also 49 by prime Factorization?

To uncover the LCM the 14 and 49 using prime factorization, we will discover the element factors, (14 = 2 × 7) and (49 = 7 × 7). LCM that 14 and 49 is the product that prime components raised to their respective highest possible exponent amongst the numbers 14 and 49.⇒ LCM that 14, 49 = 21 × 72 = 98.

What is the the very least Perfect Square Divisible by 14 and also 49?

The least number divisible through 14 and 49 = LCM(14, 49)LCM of 14 and 49 = 2 × 7 × 7 ⇒ the very least perfect square divisible by each 14 and also 49 = LCM(14, 49) × 2 = 196 Therefore, 196 is the required number.

What room the techniques to uncover LCM of 14 and also 49?

The commonly used methods to uncover the LCM the 14 and also 49 are:

Listing MultiplesDivision MethodPrime factorization Method

If the LCM of 49 and also 14 is 98, uncover its GCF.

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LCM(49, 14) × GCF(49, 14) = 49 × 14Since the LCM of 49 and also 14 = 98⇒ 98 × GCF(49, 14) = 686Therefore, the GCF (greatest common factor) = 686/98 = 7.