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LCM of 304, 196, 939, 143

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 304, 196, 939, 143 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 304, 196, 939, 143. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 304,196,939,143

Given numbers are 304,196,939,143

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 304,196,939,143 is 2000190192.

Find LCM of 304,196,939,143 with Prime Factorization


2 304, 196, 939, 143
2 152, 98, 939, 143
76, 49, 939, 143

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 76 x 49 x 939 x 143 = 2000190192

Therefore, the lowest common multiple of 304,196,939,143 is 2000190192.

LCM Formula to Find Lowest Common Multiple of 304,196,939,143

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

304 x 196 x 939 x 143 = 8000760768

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

939 : 1, 3, 313, 939

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,196,939,143, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

196:2x 2x 7x 7

939:3x 313

143:11x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 8000760768/(1x4)

LCM = 8000760768/4

LCM = 2000190192

Thus, we can understand that the LCM of 304,196,939,143 is 2000190192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 304, 196, 939, 143

1. What is the LCM of 304, 196, 939, 143?

Answer: LCM of 304, 196, 939, 143 is 2000190192.

2. How to calculate the LCM of 304, 196, 939, 143?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 304, 196, 939, 143.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.