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LCM of 314, 879, 631, 465

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


Find the LCM of 314, 879, 631, 465 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 314, 879, 631, 465. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 314,879,631,465

Given numbers are 314,879,631,465

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

The LCM of 314,879,631,465 is 26994766830.

Find LCM of 314,879,631,465 with Prime Factorization


3 314, 879, 631, 465
314, 293, 631, 155

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

3 x 314 x 293 x 631 x 155 = 26994766830

Therefore, the lowest common multiple of 314,879,631,465 is 26994766830.

LCM Formula to Find Lowest Common Multiple of 314,879,631,465

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.

314 x 879 x 631 x 465 = 80984300490

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.

314 : 1, 2, 157, 314

879 : 1, 3, 293, 879

631 : 1, 631

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,879,631,465, is 1.

Now, the common factors can be found like this.

314:2x 157

879:3x 293

631:631

465:3x 5x 31

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

3 = 3

Therefore, the value for common factors is 3.

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 = 80984300490/(1x3)

LCM = 80984300490/3

LCM = 26994766830

Thus, we can understand that the LCM of 314,879,631,465 is 26994766830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 314, 879, 631, 465

1. What is the LCM of 314, 879, 631, 465?

Answer: LCM of 314, 879, 631, 465 is 26994766830.

2. How to calculate the LCM of 314, 879, 631, 465?

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 314, 879, 631, 465.

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}.