How do you find LCM and HCF using prime factors?

How do you find LCM and HCF using prime factors?

Start by writing 24 and 180 as the product of their prime factors. To find the HCF, find any prime factors that are in common between the products. Each product contains two 2s and one 3, so use these for the HCF. To find the LCM, multiply the HCF by all the numbers in the products that have not yet been used.

How do you do LCM and HCF?

The formula that shows the relationship between their LCM and HCF is: LCM (a,b) × HCF (a,b) = a × b. For example, let us take two numbers 12 and 8. Let us use the formula: LCM (12,8) × HCF (12,8) = 12 × 8. The LCM of 12 and 8 is 24; and the HCF of 12 and 8 is 4.

How do you use the prime factorization method?

Step 1: Divide the given number by the smallest prime number. In this case, the smallest prime number should divide the number exactly. Step 2: Again, divide the quotient by the smallest prime number. Step 3: Repeat the process, until the quotient becomes 1.

How do you find the LCM in HCF?

To find the LCM, multiply the HCF by all the factors that have not been crossed out so far. 220 220. 220 220 can be displayed using prime factor trees. 220 220. Any prime factors shared by these two numbers are to be placed in the intersection. Finally, we find the LCM by multiplying all the numbers in the Venn diagram together, 600 600.

How to find the HCF for a number?

The prime factors of a number can be displayed using a prime factor tree. 40 40. To find the HCF, find any prime factors that are in common between both numbers. Next, cross any numbers used so far off from the products. To find the LCM, multiply the HCF by all the factors that have not been crossed out so far.

How is the highest common factor ( HCF ) found?

The highest common factor (HCF) is found by multiplying together the numbers in the intersection of all three of the circles. The lowest common multiple (LCM) is found by multiplying together the numbers from all sections of the circles.

What are the factors of 20 in LCM?

The factors of 20 are: 1, 2, 4, 5, 10, and 20. They have a few factors in common, but the biggest factor they have in common is 4, therefore 4 is the HCF of 12 and 20, A multiple of some number is the result of multiplying it by some other number.