Given Numbers are 123, 130

We can find the LCM of 123, 130 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 123 and 130

Multiples of 123 =123,246,369,492,615,738,861,984,1107,1230,1353,1476,1599,1722,1845,1968,2091,

Multiples of 130 =130,260,390,520,650,780,910,1040,1170,1300,1430,1560,1690,1820,1950,2080,2210,

Now, get the least common multiple of 123, 130 which is 15990

So, the LCM of 123, 130 is 15990.

One method for determining the LCM of 123 and 130 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 123's prime factorization:

Prime factors of 123 are 3,41.

123 = 3¹×41¹

And this is 130's prime factorization:

Prime factors of 130 are 2, 5,13.

130 = 2¹×5¹×13¹

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 3,41, 2, 5,13

2¹×3¹×5¹×13¹×41¹ = 15990

This shows that the LCM of 123 and 130 is 15990.

The first step in determining the Least Common Multiple of 123 and 130 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 123 and 130:

Lets look at the first ten multiples of these numbers, 123 and 130:

123,246,369,492,615,738,861,984,1107,2091 are the first ten multiples of 123.

130,260,390,520,650,780,910,1040,1170,2210 are the first ten multiples of 130.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 123 and 130, for example, are 1476, 2091, and 2080. 15990 is the least common multiple since it is the smallest.

123 and 130 have an LCM of 15990.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 123 and 130, than apply into the LCM equation.

GCF(123,130) = 1
LCM(123,130) = ( 123 × 130) / 1
LCM(123,130) = 15990 / 1
LCM(123,130) = 15990

1. What is the LCM of 123 and 130?

The LCM of 123 and 130 is 15990.

2. How to find the lowest common multiple of 123 and 130?

To find the lowest common multiple of 123 and 130, we have to get the multip;es of both numbers and identify the least common multiple in them which is 15990.

3. What are the Factors of 123?

Answer: Factors of 123 are 1, 3, 41, 123. There are 4 integers that are factors of 123. The greatest factor of 123 is 123.

4. What are the Factors of 130?

Answer: Factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130. There are 8 integers that are factors of 130. The greatest factor of 130 is 130.

Answer:

Least Common Multiple of 123 and 130 = 15990

Step 1: Find the prime factorization of 123

123 = 3 x 41

Step 2: Find the prime factorization of 130

130 = 2 x 5 x 13

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 15990 = 2 x 3 x 5 x 13 x 41

Step 4: Therefore, the least common multiple of 123 and 130 is 15990.