How can i find lcm

Given below are the three most common properties of the LCM:. Example 1: Find the LCM of and using the prime factorization method. Example 2: Bus X comes to a stop every 15 minutes and bus Y comes to the same stop every 40 minutes. Let us assume that both buses are currently at the same bus stop. After how many hours will both the buses reach the same stop again?

To find the required time, we have to find the LCM of 15 and The multiples of 15 are 15, 30, 45, 60, 75, 90, , , , So the LCM of 15 and 40 is Thus, both buses reach the same stop again after minutes, which is the same as 2 hours. There are 3 methods to calculate the LCM of two numbers: by listing out the common multiples, by prime factorization method, and by division method. These methods have been explained in the previous sections with examples.

Though we have three methods to find the LCM, listing out the common multiples, prime factorization method, and division method. Out of these three methods, the prime factorization method is the most common, fastest, and easiest method.

First few multiples of 12 are 12, 24, 36, 48, 60, 72, 84, Thus, the LCM of 12 and 9 is The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers and the HCF Highest Common Factor of two or more numbers is the highest number among all the common factors of the given numbers.

Let's assume a and b are the two numbers. The LCM of 12 and 8 is the smallest number among all common multiples of both of the numbers. Thus, the LCM of 12 and 8 is Learn Practice Download. How to find the Least Common Multiple? Formulas of LCM 4. Properties of LCM 7. Difference Between LCM and HCF The HCF or the Highest common factor of two or more numbers is the highest or the greatest factor among all the common factors of the given numbers, whereas the LCM or the least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.

LCM of Numbers. Input the numbers you want to find the LCM for. You can use commas or spaces to separate your numbers. But do not use commas within your numbers. For example, enter , and not 2,, 1, The LCM a,b is calculated by finding the prime factorization of both a and b.

Use the same process for the LCM of more than 2 numbers. For example, for LCM 24, we find:. One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

After you've calculated a least common multiple, always check to be sure your answer can be divided evenly by both numbers. Find the LCM of these sets of numbers. This gives us 63, the smallest number that can be divided evenly by 3, 9, and