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

You are watching: What is the lcm of 5 and 7

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

Answer: LCM of 5 and also 7 is 35.

*

Explanation:

The LCM of 2 non-zero integers, x(5) and y(7), is the smallest confident integer m(35) the is divisible by both x(5) and also y(7) without any remainder.


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

By department MethodBy Listing MultiplesBy element Factorization Method

LCM that 5 and 7 by department Method

*

To calculation the LCM of 5 and 7 by the division method, we will certainly divide the numbers(5, 7) by your prime determinants (preferably common). The product of these divisors provides the LCM of 5 and 7.

Step 3: proceed the actions until only 1s room left in the last row.

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

LCM that 5 and also 7 by Listing Multiples

*

To calculation the LCM the 5 and 7 through listing the end the common multiples, we have the right to follow the given below steps:

Step 1: perform a couple of multiples the 5 (5, 10, 15, 20, 25, 30, 35, . . . ) and also 7 (7, 14, 21, 28, 35, . . . . )Step 2: The common multiples indigenous the multiples the 5 and also 7 are 35, 70, . . .Step 3: The smallest usual multiple of 5 and 7 is 35.

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

LCM of 5 and 7 by prime Factorization

Prime factorization of 5 and also 7 is (5) = 51 and also (7) = 71 respectively. LCM of 5 and 7 can be derived by multiplying prime factors raised to your respective highest possible power, i.e. 51 × 71 = 35.Hence, the LCM that 5 and 7 by prime factorization is 35.

☛ additionally Check:


*


FAQs top top LCM the 5 and also 7

What is the LCM the 5 and also 7?

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

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

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

What are the approaches to discover LCM the 5 and also 7?

The generally used techniques to uncover the LCM the 5 and 7 are:

Division MethodPrime administrate MethodListing Multiples

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

The the very least number divisible by 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.

See more: What Does Rubbing Alcohol Do To Your Hair, 5 Things You Don'T Want In Your Conditioner

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

To find the LCM of 5 and also 7 making use of prime factorization, we will find the element factors, (5 = 5) and also (7 = 7). LCM of 5 and also 7 is the product that prime components raised to your respective greatest exponent among the number 5 and 7.⇒ LCM that 5, 7 = 51 × 71 = 35.