What is LCM and HCF in maths?

What is LCM and HCF in maths?

The Highest Common Factor (HCF) of two or more given numbers is the largest number which divides each of the given numbers without leaving any remainder. The Lowest Common Multiple (LCM) of two or more numbers is the smallest of the common multiples of those numbers.

What is LCM explain?

1 : the smallest common multiple of two or more numbers. 2 : the common multiple of lowest degree of two or more polynomials.

Is HCF and LCM same?

LCM and HCF of two numbers are the same. HCF being the highest common factor is always a factor of both the numbers. Therefore the numbers can be written as multiples of HCF.

Where do we use HCF and LCM?

What are Applications of LCM and HCF

1. To split things into smaller sections.
2. To equally distribute any number of sets of items into their largest grouping.
3. To figure out how many people we can invite.
4. To arrange something into rows or groups.

What is LCM and example?

LCM is the smallest integer which is a multiple of two or more numbers. For example, LCM of 4 and 6 is 12, and LCM of 10 and 15 is 30. As with the greatest common divisors, there are many methods for computing the least common multiples also. One method is to factor both numbers into their primes.

What is an example of LCM?

LCM is the smallest integer which is a multiple of two or more numbers. For example, LCM of 4 and 6 is 12, and LCM of 10 and 15 is 30. As with the greatest common divisors, there are many methods for computing the least common multiples also. The LCM is the product of all primes that are common to all numbers.

Why do we use LCM?

What are Applications of LCM and HCF. To split things into smaller sections. To equally distribute any number of sets of items into their largest grouping. To figure out how many people we can invite.

What is HCF example?

HCF : The largest number that divides two or more numbers is the highest common factor (HCF) for those numbers. For example, consider the numbers 30 (2 x 3 x 5), 36 (2 x 2 x 3 x 3), 42 (2 x 3 x 7), 45 (3 x 3 x 5). 3 is the largest number that divides each of these numbers, and hence, is the HCF for these numbers.

What is HCF also called?

The greatest number which divides each of the two or more numbers is called HCF or Highest Common Factor. It is also called the Greatest Common Measure(GCM) and Greatest Common Divisor(GCD).

What is the relationship between HCF and lcm of two numbers?

The least common multiple (LCM) of two or more numbers is the smallest number among all the common multiples of the given numbers, whereas, the HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers. What is the Relationship Between HCF and LCM of Two Numbers?

Which is the highest common factor in LCM?

Definition of LCM and HCF We know that a number’s factors are the exact divisors of that number. The highest common factor (H.C.F.) and the least common multiple (L.C.M.) will be discussed next (L.C.M.). HCF meaning is Highest Common Factor.

Which is the highest common factor in HCF?

For instance, take 8 and 12, the gcd of these two numbers or the HCF of two numbers will be 4. Since this greatest common divisor or GCD is also known as the highest common factor or HCF.

Are there multiple choice questions on LCM of two numbers?

Multiple-choice questions on the LCM of two numbers – when you click the right answer, a snowball flies into a kid. This includes games for GCF, LCM, exponents, and square roots. The question to solve appears in the right, under ‘example’.