LCM that 10 and also 12 is the smallest number among all common multiples of 10 and 12. The first couple of multiples of 10 and also 12 room (10, 20, 30, 40, 50, 60, 70, . . . ) and (12, 24, 36, 48, 60, 72, . . . ) respectively. There space 3 commonly used techniques to find LCM that 10 and also 12 - by department method, by listing multiples, and by element factorization.

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 1 LCM the 10 and also 12 2 List that Methods 3 Solved Examples 4 FAQs

Answer: LCM of 10 and also 12 is 60.

Explanation:

The LCM of two non-zero integers, x(10) and y(12), is the smallest optimistic integer m(60) that is divisible through both x(10) and also y(12) without any type of remainder.

Let's look at the different methods because that finding the LCM that 10 and also 12.

By element Factorization MethodBy Listing MultiplesBy division Method

### LCM the 10 and 12 by element Factorization

Prime administrate of 10 and also 12 is (2 × 5) = 21 × 51 and also (2 × 2 × 3) = 22 × 31 respectively. LCM that 10 and 12 have the right to be derived by multiply prime factors raised to their respective highest power, i.e. 22 × 31 × 51 = 60.Hence, the LCM of 10 and 12 by element factorization is 60.

### LCM that 10 and also 12 by Listing Multiples

To calculate the LCM that 10 and also 12 by listing out the usual multiples, we have the right to follow the given listed below steps:

Step 1: list a couple of multiples the 10 (10, 20, 30, 40, 50, 60, 70, . . . ) and 12 (12, 24, 36, 48, 60, 72, . . . . )Step 2: The usual multiples native the multiples of 10 and also 12 space 60, 120, . . .Step 3: The smallest typical multiple that 10 and 12 is 60.

∴ The least common multiple the 10 and 12 = 60.

### LCM the 10 and 12 by division Method

To calculation the LCM of 10 and also 12 by the department method, we will certainly divide the numbers(10, 12) by their prime determinants (preferably common). The product of these divisors provides the LCM that 10 and also 12.

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

The LCM of 10 and also 12 is the product of every prime numbers on the left, i.e. LCM(10, 12) by department method = 2 × 2 × 3 × 5 = 60.

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## FAQs ~ above LCM that 10 and 12

### What is the LCM of 10 and 12?

The LCM that 10 and also 12 is 60. To discover the least common multiple (LCM) of 10 and 12, we require to find the multiples of 10 and also 12 (multiples that 10 = 10, 20, 30, 40 . . . . 60; multiples that 12 = 12, 24, 36, 48 . . . . 60) and also choose the the smallest multiple that is exactly divisible through 10 and also 12, i.e., 60.

### What is the Relation between GCF and also LCM that 10, 12?

The adhering to equation have the right to be offered to to express the relation between GCF and also LCM of 10 and 12, i.e. GCF × LCM = 10 × 12.

### If the LCM of 12 and 10 is 60, uncover its GCF.

LCM(12, 10) × GCF(12, 10) = 12 × 10Since the LCM the 12 and also 10 = 60⇒ 60 × GCF(12, 10) = 120Therefore, the GCF = 120/60 = 2.

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### What are the approaches to find LCM that 10 and also 12?

The frequently used approaches to find the LCM of 10 and also 12 are:

Division MethodPrime factorization MethodListing Multiples

### Which the the following is the LCM the 10 and also 12? 10, 20, 2, 60

The value of LCM of 10, 12 is the smallest usual multiple that 10 and also 12. The number to solve the given condition is 60.