LCM of 8 and 10 is the smallest number among all typical multiples that 8 and 10. The first few multiples that 8 and 10 are (8, 16, 24, 32, 40, . . . ) and (10, 20, 30, 40, . . . ) respectively. There room 3 generally used methods to uncover LCM of 8 and also 10 - by prime factorization, through listing multiples, and by department method.

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1.LCM of 8 and 10
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM of 8 and also 10 is 40.

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Explanation:

The LCM of 2 non-zero integers, x(8) and y(10), is the smallest confident integer m(40) that is divisible by both x(8) and y(10) without any remainder.


Let's look in ~ the various methods for finding the LCM of 8 and also 10.

By prime Factorization MethodBy Listing MultiplesBy department Method

LCM the 8 and also 10 by prime Factorization

Prime factorization of 8 and 10 is (2 × 2 × 2) = 23 and (2 × 5) = 21 × 51 respectively. LCM the 8 and also 10 can be obtained by multiply prime factors raised to your respective highest power, i.e. 23 × 51 = 40.Hence, the LCM of 8 and also 10 by prime factorization is 40.

LCM the 8 and 10 by Listing Multiples

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To calculate the LCM that 8 and also 10 through listing out the common multiples, we deserve to follow the given below steps:

Step 1: list a few multiples that 8 (8, 16, 24, 32, 40, . . . ) and 10 (10, 20, 30, 40, . . . . )Step 2: The typical multiples native the multiples of 8 and also 10 room 40, 80, . . .Step 3: The smallest common multiple the 8 and 10 is 40.

∴ The least typical multiple of 8 and also 10 = 40.

LCM the 8 and 10 by division Method

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To calculate the LCM of 8 and also 10 through the department method, we will certainly divide the numbers(8, 10) by your prime determinants (preferably common). The product of this divisors provides the LCM the 8 and 10.

Step 3: continue the measures until just 1s room left in the critical row.

The LCM of 8 and also 10 is the product of every prime numbers on the left, i.e. LCM(8, 10) by department method = 2 × 2 × 2 × 5 = 40.

☛ also Check:


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FAQs on LCM the 8 and 10

What is the LCM the 8 and also 10?

The LCM the 8 and 10 is 40. To discover the least typical multiple of 8 and 10, we need to uncover the multiples of 8 and also 10 (multiples of 8 = 8, 16, 24, 32 . . . . 40; multiples that 10 = 10, 20, 30, 40) and choose the the smallest multiple that is precisely divisible by 8 and also 10, i.e., 40.

What is the Relation between GCF and LCM that 8, 10?

The complying with equation have the right to be provided to to express the relation in between GCF and LCM the 8 and 10, i.e. GCF × LCM = 8 × 10.

If the LCM of 10 and 8 is 40, discover its GCF.

LCM(10, 8) × GCF(10, 8) = 10 × 8Since the LCM the 10 and 8 = 40⇒ 40 × GCF(10, 8) = 80Therefore, the greatest usual factor (GCF) = 80/40 = 2.

What is the the very least Perfect Square Divisible by 8 and 10?

The least number divisible by 8 and 10 = LCM(8, 10)LCM of 8 and 10 = 2 × 2 × 2 × 5 ⇒ the very least perfect square divisible by every 8 and 10 = LCM(8, 10) × 2 × 5 = 400 Therefore, 400 is the compelled number.

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Which of the adhering to is the LCM of 8 and also 10? 36, 40, 35, 3

The worth of LCM that 8, 10 is the smallest common multiple that 8 and also 10. The number satisfying the given problem is 40.