How do you use prime factorization to find HCF and LCM?

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.

What is the LCM of 24 and 36 by prime factorization method?

72
LCM of 24 and 36 by Prime Factorization LCM of 24 and 36 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 23 × 32 = 72. Hence, the LCM of 24 and 36 by prime factorization is 72.

How do you find the LCM using prime factorization Class 10?

Step 1: To find LCM of 20 and 12, write each number as a product of prime factors. Step 2: Multiply all the prime factors with the highest degree. Here we have 2 with highest power 2 and other prime factors 3 and 5. Multiply all these to get LCM.

What is the LCM of 24 36 and 40 by prime factorization method?

Hence, the LCM of 24, 36, and 40 by prime factorization is 360.

What is factorization method?

Factorisation is a method of breaking the arithmetic algebraic expressions into the product of their factors. If we multiply the factors again, then they will result in original expression.

How is LCM calculated?

For two integers a and b, denoted LCM(a,b), the LCM is the smallest positive integer that is evenly divisible by both a and b. For example, LCM(2,3) = 6 and LCM(6,10) = 30. The LCM of two or more numbers is the smallest number that is evenly divisible by all numbers in the set.

What is the LCM of 48 and 72?

144
Answer: LCM of 48 and 72 is 144.

What is the LCM of 20 and 25?

100
Answer: LCM of 20 and 25 is 100.

What is the LCM of 306 and 657?

22338
Thus, LCM of 306 and 657 is 22338.

What is the LCM of 30 72 and 432?

2160
Answer: LCM of 30, 72, and 432 is 2160.

What is the LCM of 45 and 120?

360
The LCM of 45 and 120 is 360.

How do you find LCM?

Find all the prime factors of each given number. List all the prime numbers found, as many times as they occur most often for any one given number. Multiply the list of prime factors together to find the LCM . The LCM (a,b) is calculated by finding the prime factorization of both a and b.

How to find GCF and LCM?

Prime numbers are numbers that cannot be divided by any other number in mathematics. In this method, you must divide all of the numbers by a prime number such as 2, 3, or any other number. Finally, all of those prime factors will be properly multiplied to find the GCF and LCM .

What are two ways to find prime factorization?

There are two methods of finding the prime numbers to a composite number: by factor tree, and by factoring. The two methods actually have the same concept. They just differ in the illustration for better understanding. Factor tree is used by finding any pair of number whose product is the given number.

How to find least common multiple?

First,write the numbers,separated by commas