LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 314, 783, 856

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


Find the LCM of 314, 783, 856 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, 783, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 314,783,856

Given numbers are 314,783,856

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

The LCM of 314,783,856 is 105228936.

Find LCM of 314,783,856 with Prime Factorization


2 314, 783, 856
157, 783, 428

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

2 x 157 x 783 x 428 = 105228936

Therefore, the lowest common multiple of 314,783,856 is 105228936.

LCM Formula to Find Lowest Common Multiple of 314,783,856

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 783 x 856 = 210457872

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

783 : 1, 3, 9, 27, 29, 87, 261, 783

856 : 1, 2, 4, 8, 107, 214, 428, 856

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,783,856, is 1.

Now, the common factors can be found like this.

314:2x 157

783:3x 3x 3x 29

856:2x 2x 2x 107

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

2 = 2

Therefore, the value for common factors is 2.

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 = 210457872/(1x2)

LCM = 210457872/2

LCM = 105228936

Thus, we can understand that the LCM of 314,783,856 is 105228936.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 314, 783, 856

1. What is the LCM of 314, 783, 856?

Answer: LCM of 314, 783, 856 is 105228936.

2. How to calculate the LCM of 314, 783, 856?

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, 783, 856.

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}.