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LCM of 313, 834, 539, 112

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


Find the LCM of 313, 834, 539, 112 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 313, 834, 539, 112. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 313,834,539,112

Given numbers are 313,834,539,112

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

The LCM of 313,834,539,112 is 1125613104.

Find LCM of 313,834,539,112 with Prime Factorization


2 313, 834, 539, 112
7 313, 417, 539, 56
313, 417, 77, 8

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

2 x 7 x 313 x 417 x 77 x 8 = 1125613104

Therefore, the lowest common multiple of 313,834,539,112 is 1125613104.

LCM Formula to Find Lowest Common Multiple of 313,834,539,112

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.

313 x 834 x 539 x 112 = 15758583456

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.

313 : 1, 313

834 : 1, 2, 3, 6, 139, 278, 417, 834

539 : 1, 7, 11, 49, 77, 539

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,834,539,112, is 1.

Now, the common factors can be found like this.

313:313

834:2x 3x 139

539:7x 7x 11

112:2x 2x 2x 2x 7

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 15758583456/(1x14)

LCM = 15758583456/14

LCM = 1125613104

Thus, we can understand that the LCM of 313,834,539,112 is 1125613104.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 313, 834, 539, 112

1. What is the LCM of 313, 834, 539, 112?

Answer: LCM of 313, 834, 539, 112 is 1125613104.

2. How to calculate the LCM of 313, 834, 539, 112?

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 313, 834, 539, 112.

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}.