LCM of 5 and 7 is the the smallest number amongst all typical multiples the 5 and also 7. The first few multiples of 5 and 7 room (5, 10, 15, 20, 25, 30, 35, . . . ) and (7, 14, 21, 28, 35, . . . ) respectively. There are 3 generally used methods to discover LCM that 5 and also 7 - by department method, by prime factorization, and by listing multiples.

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 1 LCM that 5 and 7 2 List the Methods 3 Solved Examples 4 FAQs

Answer: LCM that 5 and 7 is 35.

Explanation:

The LCM of two non-zero integers, x(5) and y(7), is the smallest optimistic integer m(35) that is divisible by both x(5) and y(7) without any remainder.

Let's look in ~ the various methods for finding the LCM of 5 and also 7.

By department MethodBy Listing MultiplesBy prime Factorization Method

### LCM the 5 and also 7 by division Method

To calculation the LCM the 5 and also 7 by the division method, we will divide the numbers(5, 7) by their prime factors (preferably common). The product of these divisors offers the LCM the 5 and also 7.

Step 3: continue the actions until only 1s are left in the critical row.

The LCM the 5 and also 7 is the product of every prime numbers on the left, i.e. LCM(5, 7) by division method = 5 × 7 = 35.

### LCM that 5 and 7 by Listing Multiples

To calculation the LCM that 5 and also 7 through listing the end the usual multiples, we deserve to follow the given listed below steps:

Step 1: list a few multiples the 5 (5, 10, 15, 20, 25, 30, 35, . . . ) and 7 (7, 14, 21, 28, 35, . . . . )Step 2: The typical multiples indigenous the multiples that 5 and 7 room 35, 70, . . .Step 3: The smallest typical multiple the 5 and 7 is 35.

∴ The least common multiple the 5 and also 7 = 35.

### LCM the 5 and also 7 by element Factorization

Prime factorization of 5 and 7 is (5) = 51 and also (7) = 71 respectively. LCM that 5 and 7 have the right to be derived by multiplying prime components raised to their respective greatest power, i.e. 51 × 71 = 35.Hence, the LCM the 5 and also 7 by element factorization is 35.

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## FAQs ~ above LCM that 5 and 7

### What is the LCM the 5 and 7?

The LCM the 5 and 7 is 35. To uncover the LCM (least common multiple) of 5 and also 7, we require to find the multiples that 5 and 7 (multiples that 5 = 5, 10, 15, 20 . . . . 35; multiples the 7 = 7, 14, 21, 28 . . . . 35) and choose the smallest multiple that is precisely divisible by 5 and also 7, i.e., 35.

### If the LCM of 7 and also 5 is 35, uncover its GCF.

LCM(7, 5) × GCF(7, 5) = 7 × 5Since the LCM that 7 and 5 = 35⇒ 35 × GCF(7, 5) = 35Therefore, the greatest common factor (GCF) = 35/35 = 1.

### What are the techniques to discover LCM that 5 and also 7?

The commonly used techniques to find the LCM the 5 and 7 are:

Division MethodPrime administrate MethodListing Multiples

### What is the least Perfect Square Divisible by 5 and 7?

The least number divisible through 5 and also 7 = LCM(5, 7)LCM of 5 and also 7 = 5 × 7 ⇒ the very least perfect square divisible by each 5 and 7 = LCM(5, 7) × 5 × 7 = 1225 Therefore, 1225 is the required number.

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### How to find the LCM the 5 and also 7 by element Factorization?

To discover the LCM of 5 and also 7 using prime factorization, us will find the prime factors, (5 = 5) and (7 = 7). LCM the 5 and also 7 is the product the prime determinants raised to their respective highest exponent among the numbers 5 and also 7.⇒ LCM the 5, 7 = 51 × 71 = 35.