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LCM of 784, 715, 286, 311

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


Find the LCM of 784, 715, 286, 311 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 784, 715, 286, 311. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 784,715,286,311

Given numbers are 784,715,286,311

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

The LCM of 784,715,286,311 is 174334160.

Find LCM of 784,715,286,311 with Prime Factorization


2 784, 715, 286, 311
11 392, 715, 143, 311
13 392, 65, 13, 311
392, 5, 1, 311

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

2 x 11 x 13 x 392 x 5 x 1 x 311 = 174334160

Therefore, the lowest common multiple of 784,715,286,311 is 174334160.

LCM Formula to Find Lowest Common Multiple of 784,715,286,311

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.

784 x 715 x 286 x 311 = 49859569760

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.

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

715 : 1, 5, 11, 13, 55, 65, 143, 715

286 : 1, 2, 11, 13, 22, 26, 143, 286

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,715,286,311, is 1.

Now, the common factors can be found like this.

784:2x 2x 2x 2x 7x 7

715:5x 11x 13

286:2x 11x 13

311:311

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 = 49859569760/(1x286)

LCM = 49859569760/286

LCM = 174334160

Thus, we can understand that the LCM of 784,715,286,311 is 174334160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 784, 715, 286, 311

1. What is the LCM of 784, 715, 286, 311?

Answer: LCM of 784, 715, 286, 311 is 174334160.

2. How to calculate the LCM of 784, 715, 286, 311?

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 784, 715, 286, 311.

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}.