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LCM of 4, 143, 319, 442

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


Find the LCM of 4, 143, 319, 442 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 4, 143, 319, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4,143,319,442

Given numbers are 4,143,319,442

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

The LCM of 4,143,319,442 is 281996.

Find LCM of 4,143,319,442 with Prime Factorization


2 4, 143, 319, 442
11 2, 143, 319, 221
13 2, 13, 29, 221
2, 1, 29, 17

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

2 x 11 x 13 x 2 x 1 x 29 x 17 = 281996

Therefore, the lowest common multiple of 4,143,319,442 is 281996.

LCM Formula to Find Lowest Common Multiple of 4,143,319,442

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.

4 x 143 x 319 x 442 = 80650856

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.

4 : 1, 2, 4

143 : 1, 11, 13, 143

319 : 1, 11, 29, 319

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4,143,319,442, is 1.

Now, the common factors can be found like this.

4:2x 2

143:11x 13

319:11x 29

442:2x 13x 17

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

2x 11x 13 = 286

Therefore, the value for common factors is 286.

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 = 80650856/(1x286)

LCM = 80650856/286

LCM = 281996

Thus, we can understand that the LCM of 4,143,319,442 is 281996.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 4, 143, 319, 442

1. What is the LCM of 4, 143, 319, 442?

Answer: LCM of 4, 143, 319, 442 is 281996.

2. How to calculate the LCM of 4, 143, 319, 442?

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 4, 143, 319, 442.

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}.