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LCM of 316, 979, 517, 289

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


Find the LCM of 316, 979, 517, 289 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 316, 979, 517, 289. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 316,979,517,289

Given numbers are 316,979,517,289

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

The LCM of 316,979,517,289 is 4202091212.

Find LCM of 316,979,517,289 with Prime Factorization


11 316, 979, 517, 289
316, 89, 47, 289

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

11 x 316 x 89 x 47 x 289 = 4202091212

Therefore, the lowest common multiple of 316,979,517,289 is 4202091212.

LCM Formula to Find Lowest Common Multiple of 316,979,517,289

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.

316 x 979 x 517 x 289 = 46223003332

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.

316 : 1, 2, 4, 79, 158, 316

979 : 1, 11, 89, 979

517 : 1, 11, 47, 517

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,979,517,289, is 1.

Now, the common factors can be found like this.

316:2x 2x 79

979:11x 89

517:11x 47

289:17x 17

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

11 = 11

Therefore, the value for common factors is 11.

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 = 46223003332/(1x11)

LCM = 46223003332/11

LCM = 4202091212

Thus, we can understand that the LCM of 316,979,517,289 is 4202091212.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 316, 979, 517, 289

1. What is the LCM of 316, 979, 517, 289?

Answer: LCM of 316, 979, 517, 289 is 4202091212.

2. How to calculate the LCM of 316, 979, 517, 289?

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 316, 979, 517, 289.

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}.