LCM the 7 and also 9 is the smallest number amongst all common multiples that 7 and 9. The first few multiples that 7 and also 9 room (7, 14, 21, 28, 35, 42, . . . ) and (9, 18, 27, 36, 45, . . . ) respectively. There space 3 typically used techniques to uncover LCM of 7 and 9 - by listing multiples, by department method, and also by prime factorization.

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1.LCM of 7 and also 9
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM of 7 and 9 is 63.

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Explanation:

The LCM of two non-zero integers, x(7) and also y(9), is the smallest positive integer m(63) that is divisible through both x(7) and y(9) without any kind of remainder.


Let's look at the various methods because that finding the LCM that 7 and also 9.

By element Factorization MethodBy Listing MultiplesBy department Method

LCM the 7 and also 9 by prime Factorization

Prime administer of 7 and 9 is (7) = 71 and also (3 × 3) = 32 respectively. LCM the 7 and 9 can be obtained by multiplying prime determinants raised to their respective highest possible power, i.e. 32 × 71 = 63.Hence, the LCM the 7 and 9 by element factorization is 63.

LCM that 7 and also 9 by Listing Multiples

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To calculation the LCM that 7 and also 9 by listing out the typical multiples, we have the right to follow the given below steps:

Step 1: perform a few multiples the 7 (7, 14, 21, 28, 35, 42, . . . ) and also 9 (9, 18, 27, 36, 45, . . . . )Step 2: The usual multiples native the multiples of 7 and also 9 are 63, 126, . . .Step 3: The smallest usual multiple that 7 and 9 is 63.

∴ The least common multiple that 7 and also 9 = 63.

LCM the 7 and also 9 by division Method

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To calculation the LCM that 7 and also 9 through the department method, we will divide the numbers(7, 9) by their prime factors (preferably common). The product of this divisors offers the LCM that 7 and also 9.

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

The LCM of 7 and also 9 is the product of every prime number on the left, i.e. LCM(7, 9) by department method = 3 × 3 × 7 = 63.

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FAQs ~ above LCM of 7 and 9

What is the LCM of 7 and also 9?

The LCM the 7 and also 9 is 63. To discover the least common multiple (LCM) that 7 and 9, we need to discover the multiples the 7 and also 9 (multiples that 7 = 7, 14, 21, 28 . . . . 63; multiples that 9 = 9, 18, 27, 36 . . . . 63) and choose the the smallest multiple that is specifically divisible by 7 and 9, i.e., 63.

What is the least Perfect Square Divisible by 7 and 9?

The the very least number divisible through 7 and 9 = LCM(7, 9)LCM the 7 and 9 = 3 × 3 × 7 ⇒ least perfect square divisible by every 7 and also 9 = LCM(7, 9) × 7 = 441 Therefore, 441 is the compelled number.

Which the the following is the LCM the 7 and also 9? 30, 24, 15, 63

The worth of LCM of 7, 9 is the smallest typical multiple of 7 and also 9. The number satisfying the given problem is 63.

If the LCM the 9 and 7 is 63, find its GCF.

LCM(9, 7) × GCF(9, 7) = 9 × 7Since the LCM that 9 and 7 = 63⇒ 63 × GCF(9, 7) = 63Therefore, the GCF (greatest common factor) = 63/63 = 1.

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How to discover the LCM the 7 and also 9 by element Factorization?

To discover the LCM the 7 and 9 using prime factorization, we will find the prime factors, (7 = 7) and (9 = 3 × 3). LCM of 7 and also 9 is the product of prime components raised to their respective highest possible exponent amongst the number 7 and 9.⇒ LCM the 7, 9 = 32 × 71 = 63.