LCM of 7 and 9 is the smallest number among all widespread multiples of 7 and 9. The initially few multiples of 7 and also 9 are (7, 14, 21, 28, 35, 42, . . . ) and also (9, 18, 27, 36, 45, . . . ) respectively. There are 3 typically provided techniques to uncover LCM of 7 and also 9 - by listing multiples, by division strategy, and by prime factorization.

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

Answer: LCM of 7 and also 9 is 63.

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Explanation:

The LCM of 2 non-zero integers, x(7) and y(9), is the smallest positive integer m(63) that is divisible by both x(7) and also y(9) without any kind of remainder.


Let's look at the different approaches for finding the LCM of 7 and also 9.

By Prime Factorization MethodBy Listing MultiplesBy Division Method

LCM of 7 and also 9 by Prime Factorization

Prime factorization of 7 and also 9 is (7) = 71 and (3 × 3) = 32 respectively. LCM of 7 and also 9 have the right to be acquired by multiplying prime determinants elevated to their corresponding highest possible power, i.e. 32 × 71 = 63.Hence, the LCM of 7 and also 9 by prime factorization is 63.

LCM of 7 and 9 by Listing Multiples

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To calculate the LCM of 7 and 9 by listing out the common multiples, we have the right to follow the offered below steps:

Tip 1: List a few multiples of 7 (7, 14, 21, 28, 35, 42, . . . ) and 9 (9, 18, 27, 36, 45, . . . . )Tip 2: The prevalent multiples from the multiples of 7 and 9 are 63, 126, . . .Step 3: The smallest widespread multiple of 7 and also 9 is 63.

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

LCM of 7 and 9 by Division Method

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To calculate the LCM of 7 and 9 by the division technique, we will certainly divide the numbers(7, 9) by their prime factors (preferably common). The product of these divisors provides the LCM of 7 and also 9.

Tip 3: Continue the measures till just 1s are left in the last row.

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

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FAQs on LCM of 7 and also 9

What is the LCM of 7 and 9?

The LCM of 7 and 9 is 63. To find the leastern widespread multiple (LCM) of 7 and also 9, we have to uncover the multiples of 7 and 9 (multiples of 7 = 7, 14, 21, 28 . . . . 63; multiples of 9 = 9, 18, 27, 36 . . . . 63) and also pick the smallest multiple that is exactly divisible by 7 and 9, i.e., 63.

What is the Least Perfect Square Divisible by 7 and also 9?

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

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

The worth of LCM of 7, 9 is the smallest widespread multiple of 7 and 9. The number satisfying the provided condition is 63.

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

LCM(9, 7) × GCF(9, 7) = 9 × 7Due to the fact that the LCM of 9 and also 7 = 63⇒ 63 × GCF(9, 7) = 63Therefore, the GCF (best prevalent factor) = 63/63 = 1.

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How to Find the LCM of 7 and 9 by Prime Factorization?

To find the LCM of 7 and also 9 making use of prime factorization, we will uncover the prime determinants, (7 = 7) and also (9 = 3 × 3). LCM of 7 and 9 is the product of prime components elevated to their respective greatest exponent among the numbers 7 and 9.⇒ LCM of 7, 9 = 32 × 71 = 63.