Given Numbers are 140, 145

We can find the LCM of 140, 145 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 140 and 145

Multiples of 140 =140,280,420,560,700,840,980,1120,1260,1400,1540,1680,1820,1960,2100,2240,2380,

Multiples of 145 =145,290,435,580,725,870,1015,1160,1305,1450,1595,1740,1885,2030,2175,2320,2465,

Now, get the least common multiple of 140, 145 which is 4060

So, the LCM of 140, 145 is 4060.

One method for determining the LCM of 140 and 145 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 140's prime factorization:

Prime factors of 140 are 2, 5,7.

140 = 2²×5¹×7¹

And this is 145's prime factorization:

Prime factors of 145 are 5,29.

145 = 5¹×29¹

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: 2, 5,7,29

2²×5¹×7¹×29¹ = 4060

This shows that the LCM of 140 and 145 is 4060.

The first step in determining the Least Common Multiple of 140 and 145 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 140 and 145:

Lets look at the first ten multiples of these numbers, 140 and 145:

140,280,420,560,700,840,980,1120,1260,2380 are the first ten multiples of 140.

145,290,435,580,725,870,1015,1160,1305,2465 are the first ten multiples of 145.

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 140 and 145, for example, are 1680, 2380, and 2320. 4060 is the least common multiple since it is the smallest.

140 and 145 have an LCM of 4060.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 140 and 145, than apply into the LCM equation.

GCF(140,145) = 5
LCM(140,145) = ( 140 × 145) / 5
LCM(140,145) = 20300 / 5
LCM(140,145) = 4060

1. What is the LCM of 140 and 145?

The LCM of 140 and 145 is 4060.

2. How to find the lowest common multiple of 140 and 145?

To find the lowest common multiple of 140 and 145, we have to get the multip;es of both numbers and identify the least common multiple in them which is 4060.

3. What are the Factors of 140?

Answer: Factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140. There are 12 integers that are factors of 140. The greatest factor of 140 is 140.

4. What are the Factors of 145?

Answer: Factors of 145 are 1, 5, 29, 145. There are 4 integers that are factors of 145. The greatest factor of 145 is 145.

Answer:

Least Common Multiple of 140 and 145 = 4060

Step 1: Find the prime factorization of 140

140 = 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 145

145 = 5 x 29

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

LCM = 4060 = 2 x 2 x 5 x 7 x 29

Step 4: Therefore, the least common multiple of 140 and 145 is 4060.