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What is the LCM and HCF of 12 21 and 15?

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What is the LCM and HCF of 12 21 and 15?

we take all the factors present in three numbers and the highest power of the common factors respectively. Therefore, the required H.C.F. and L.C.M. of 12, 21 and 15 are 3, 420 respectively.

What are the process to find the HCF?

Step 1: Divide the largest number by the smallest number. Step 2: Take divisor as new dividend and remainder as the new divisor, i.e. divide the first divisor by the first remainder. Step 3: Proceed till the remainder is zero and the last divisor will be the HCF of the given numbers.

What is the LCM and HCF of 12 15 and 21 by prime factorization method?

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Prime factorization of 12, 15, and 21 is (2 × 2 × 3) = 22 × 31, (3 × 5) = 31 × 51, and (3 × 7) = 31 × 71 respectively. LCM of 12, 15, and 21 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 22 × 31 × 51 × 71 = 420.

What is the HCF of 12 15 and 20?

As you can see when you list out the factors of each number, 1 is the greatest number that 12, 15, and 20 divides into.

What is the HCF of 12 and 15?

1 and 3 are the only common factors (numbers which are factors of both 12 and 15). Therefore, the highest common factor of 12 and 15 is 3.

What is the LCM and HCF of 12 and 15?

Common Multiples of 12: 12,24,36,48,60,72,…. Common Multiples of 15: 15, 30, 45, 60, 75,… Hence, the Least common multiple of 12 and 15 is 60.

What is the HCF of 15 and 12?

Therefore, the greatest common factor of 12 and 15 is 3.

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What is the HCF of 12?

Factors of 12 = 1, 2, 3, 4, 6 and 12. Factors of 18 = 1, 2, 3, 6, 9 and 18. Therefore, common factor of 12 and 18 = 1, 2, 3 and 6. Highest common factor (H.C.F) of 12 and 18 = 6 [since 6 is the highest common factor].

What is the HCF of 12 and 21?

3
There are 2 common factors of 12 and 21, that are 1 and 3. Therefore, the greatest common factor of 12 and 21 is 3.

What is the HCF of 15 21?

There are 2 common factors of 15 and 21, that are 1 and 3. Therefore, the greatest common factor of 15 and 21 is 3.

What is the LCM for 12 and 15?

60
Hence, the Least common multiple of 12 and 15 is 60.

What is the HCF of 12 and 20?

4
Answer: HCF of 12 and 20 is 4.

What is the HCF of 12 and 15 and 21?

The prime factors of 12 are 2 and 3. The prime factors of 15 are 5 and 3 The prime factors of 21 are 7 and 3. The only common factor is 3. So 3 is the HCF.

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What is the greatest common factor of 12 15 and 21?

HCF of 12, 15 and 21 HCF of 12, 15 and 21 is the largest possible number that divides 12, 15 and 21 exactly without any remainder. The factors of 12, 15 and 21 are (1, 2, 3, 4, 6, 12), (1, 3, 5, 15) and (1, 3, 7, 21) respectively.

How to find HCF of 12 and 15 using long division?

To find the HCF of 12, 15 using long division method, 15 is divided by 12. The corresponding divisor (3) when remainder equals 0 is taken as HCF. What are the Methods to Find HCF of 12 and 15? There are three commonly used methods to find the HCF of 12 and 15.

What is the HCF calculator?

Here is the interesting HCF calculator to find the highest common factor for the given list of numbers. Such factor is also referred to as the greatest common factor (GCF) or greatest common measure (GCM) or highest common divisor is the highest number which divides all the numbers in the list exactly.