LCM that 5 and also 7 is the smallest number amongst all common multiples of 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 space 3 commonly used approaches to uncover LCM of 5 and 7 - by department method, by prime factorization, and also by listing multiples.
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| 1. | LCM of 5 and also 7 |
| 2. | List the Methods |
| 3. | Solved Examples |
| 4. | FAQs |
Answer: LCM of 5 and 7 is 35.
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Explanation:
The LCM of 2 non-zero integers, x(5) and also y(7), is the smallest positive integer m(35) the is divisible by both x(5) and y(7) without any kind of remainder.
Let's look in ~ the different methods because that finding the LCM the 5 and also 7.
By division MethodBy Listing MultiplesBy element Factorization MethodLCM of 5 and 7 by department Method
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To calculation the LCM that 5 and 7 through the division method, we will divide the numbers(5, 7) by your prime factors (preferably common). The product of these divisors offers the LCM of 5 and 7.
Step 3: proceed the steps until only 1s space left in the critical row.The LCM the 5 and also 7 is the product of every prime number on the left, i.e. LCM(5, 7) by department method = 5 × 7 = 35.
LCM that 5 and also 7 by Listing Multiples
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To calculate the LCM the 5 and 7 by listing the end the common multiples, we deserve to follow the given 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 native the multiples the 5 and 7 are 35, 70, . . .Step 3: The smallest usual multiple the 5 and also 7 is 35.∴ The least common multiple of 5 and 7 = 35.
LCM the 5 and 7 by element Factorization
Prime factorization of 5 and also 7 is (5) = 51 and (7) = 71 respectively. LCM the 5 and also 7 have the right to be derived by multiply prime components raised to your respective highest possible power, i.e. 51 × 71 = 35.Hence, the LCM of 5 and 7 by element factorization is 35.
☛ additionally Check:
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FAQs top top LCM the 5 and also 7
What is the LCM the 5 and also 7?
The LCM of 5 and 7 is 35. To find the LCM (least typical multiple) the 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 the smallest multiple the is exactly divisible through 5 and 7, i.e., 35.
If the LCM of 7 and 5 is 35, uncover its GCF.
LCM(7, 5) × GCF(7, 5) = 7 × 5Since the LCM that 7 and also 5 = 35⇒ 35 × GCF(7, 5) = 35Therefore, the greatest common factor (GCF) = 35/35 = 1.
What space the methods to uncover LCM of 5 and 7?
The frequently used methods to discover the LCM of 5 and also 7 are:
Division MethodPrime administer MethodListing MultiplesWhat is the the very least Perfect Square Divisible by 5 and also 7?
The the very least number divisible through 5 and 7 = LCM(5, 7)LCM that 5 and 7 = 5 × 7
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How to find the LCM that 5 and 7 by element Factorization?
To discover the LCM that 5 and 7 utilizing prime factorization, us will discover the element factors, (5 = 5) and (7 = 7). LCM of 5 and also 7 is the product the prime factors raised to their respective highest exponent among the numbers 5 and also 7.⇒ LCM the 5, 7 = 51 × 71 = 35.