How do you find the second number when LCM and HCF are given?

Posted on by Author

How do you find the second number when LCM and HCF are given?

The HCF is the common factor for both numbers whereas the LCM contains all the unique factors of both numbers. So, 2 x 2 or 4 is a common factor for both numbers. The factors remaining are 7 and 9. So, 7 is a factor of one number and 9 is the factor of the second number.

How do you find the LCM and HCF is given?

or, L.C.M. = First Number×Second NumberH.C.F….Solved examples on the relationship between H.C.F. and L.C.M.:

  1. Find the L.C.M. of 1683 and 1584.
  2. Highest common factor and lowest common multiple of two numbers are 18 and 1782 respectively.
  3. The HCF of two numbers is 3 and their LCM is 54.
READ:   Can hard drive damage motherboard?

What is LCM into HCF of two numbers?

The relationship between the HCF and LCM of two numbers is that the product of the LCM and HCF of any two given numbers is equal to the product of the given numbers. Let us assume ‘a’ and ‘b’ are the two given numbers. The formula that shows the relationship between their LCM and HCF is: LCM (a,b) × HCF (a,b) = a × b.

Is it possible for the HCF and LCM of a number to be 18 and 378?

Since, LCM is a multiple of HCF, ie., 378 = 21 * 18, the answer is yes.

How do we calculate LCM?

How to Find LCM by Listing Multiples

  • List the multiples of each number until at least one of the multiples appears on all lists.
  • Find the smallest number that is on all of the lists.
  • This number is the LCM.

Is it possible to have two numbers with HCF 18 and LCM 760?

No, it is not possible to have two numbers whose HCF is 18 and LCM is 760. Since, HCF must be a factor of LCM, but 18 is not factor of 760.

READ:   Is sustainability a good journal?

What is the LCM of 520 and 25?

The LCM of 25 and 520 is 2600.

How do you solve for LCM?

How to Find LCM by Listing Multiples

  1. List the multiples of each number until at least one of the multiples appears on all lists.
  2. Find the smallest number that is on all of the lists.
  3. This number is the LCM.

How can we find the LCM of the given numbers?

Find the LCM using the prime factors method Find the prime factorization of each number. Write each number as a product of primes, matching primes vertically when possible. Bring down the primes in each column. Multiply the factors to get the LCM.

How do you find LCM and HCF of two numbers?

Well…….LCM and HCF of two numbers are given we have to find the numbers. Let HCF of two numbers be 6 and LCM be 300.Let numbers be x and y. x=6a and y=6b,where a and b are relative prime to each others. 6ab=LCM of x and y. ab=300/6=50. Now find a and b relative prime to each others and ab=50.

What is the sum of two numbers with HCF 29 and LCM 4147?

Two numbers, both greater than 29, have HCF 29 and LCM 4147. Find sum of two numbers? Tools for everyone who codes. As the HCF of the two numbers is 29, they are the multiple of 29. Let the numbers are 29x and 29y . , Ph.D. in Civil Engineering. Maths keeps one mentally active. The sum of the two numbers is 377+319 = 696.

READ:   What is the difference between seed dormancy and seed germination?

What is the product of HCF and lcm of 270?

HCF of two numbers is 3 and LCM of those numbers is 90. Now product of HCF and LCM = 270. Is there anyway to find out those numbers? Now find the factors of 270 and verify Y is for yes and N is for no (3, 90), (6, 45), (9, 30) and (15, 18). All the above mentioned pairs of numbers have 3 as HCF and 90 as LCM.

How to find GCD and HCF of two numbers?

To find the GCD or HCF, an efficient solution is to use Euclidean algorithm which is the main algorithm used for this purpose. The idea is, GCD of two numbers doesn’t change if smaller number is subtracted from a bigger number. + “arguments found.”);

https://www.youtube.com/watch?v=1fPqsUaOGs0