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LCM of 716, 338, 416, 431

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


Find the LCM of 716, 338, 416, 431 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 716, 338, 416, 431. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 716,338,416,431

Given numbers are 716,338,416,431

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

The LCM of 716,338,416,431 is 417221792.

Find LCM of 716,338,416,431 with Prime Factorization


2 716, 338, 416, 431
2 358, 169, 208, 431
13 179, 169, 104, 431
179, 13, 8, 431

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

2 x 2 x 13 x 179 x 13 x 8 x 431 = 417221792

Therefore, the lowest common multiple of 716,338,416,431 is 417221792.

LCM Formula to Find Lowest Common Multiple of 716,338,416,431

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.

716 x 338 x 416 x 431 = 43391066368

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.

716 : 1, 2, 4, 179, 358, 716

338 : 1, 2, 13, 26, 169, 338

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

431 : 1, 431

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,338,416,431, is 1.

Now, the common factors can be found like this.

716:2x 2x 179

338:2x 13x 13

416:2x 2x 2x 2x 2x 13

431:431

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

2x 2x 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 43391066368/(1x104)

LCM = 43391066368/104

LCM = 417221792

Thus, we can understand that the LCM of 716,338,416,431 is 417221792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 716, 338, 416, 431

1. What is the LCM of 716, 338, 416, 431?

Answer: LCM of 716, 338, 416, 431 is 417221792.

2. How to calculate the LCM of 716, 338, 416, 431?

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 716, 338, 416, 431.

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}.