Given Numbers are 140, 146

We can find the LCM of 140, 146 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 140 and 146

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

Multiples of 146 =146,292,438,584,730,876,1022,1168,1314,1460,1606,1752,1898,2044,2190,2336,2482,

Now, get the least common multiple of 140, 146 which is 10220

So, the LCM of 140, 146 is 10220.

One method for determining the LCM of 140 and 146 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 146's prime factorization:

Prime factors of 146 are 2,73.

146 = 2¹×73¹

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, 5,7,73

2²×5¹×7¹×73¹ = 10220

This shows that the LCM of 140 and 146 is 10220.

The first step in determining the Least Common Multiple of 140 and 146 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 140 and 146:

Lets look at the first ten multiples of these numbers, 140 and 146:

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

146,292,438,584,730,876,1022,1168,1314,2482 are the first ten multiples of 146.

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 146, for example, are 1680, 2380, and 2336. 10220 is the least common multiple since it is the smallest.

140 and 146 have an LCM of 10220.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 140 and 146, than apply into the LCM equation.

GCF(140,146) = 2
LCM(140,146) = ( 140 × 146) / 2
LCM(140,146) = 20440 / 2
LCM(140,146) = 10220

1. What is the LCM of 140 and 146?

The LCM of 140 and 146 is 10220.

2. How to find the lowest common multiple of 140 and 146?

To find the lowest common multiple of 140 and 146, we have to get the multip;es of both numbers and identify the least common multiple in them which is 10220.

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 146?

Answer: Factors of 146 are 1, 2, 73, 146. There are 4 integers that are factors of 146. The greatest factor of 146 is 146.

Answer:

Least Common Multiple of 140 and 146 = 10220

Step 1: Find the prime factorization of 140

140 = 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 146

146 = 2 x 73

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

LCM = 10220 = 2 x 2 x 5 x 7 x 73

Step 4: Therefore, the least common multiple of 140 and 146 is 10220.