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LCM of 313, 598, 342, 685

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


Find the LCM of 313, 598, 342, 685 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, 598, 342, 685. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 313,598,342,685

Given numbers are 313,598,342,685

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

The LCM of 313,598,342,685 is 21924626490.

Find LCM of 313,598,342,685 with Prime Factorization


2 313, 598, 342, 685
313, 299, 171, 685

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

2 x 313 x 299 x 171 x 685 = 21924626490

Therefore, the lowest common multiple of 313,598,342,685 is 21924626490.

LCM Formula to Find Lowest Common Multiple of 313,598,342,685

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 598 x 342 x 685 = 43849252980

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

598 : 1, 2, 13, 23, 26, 46, 299, 598

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

685 : 1, 5, 137, 685

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,598,342,685, is 1.

Now, the common factors can be found like this.

313:313

598:2x 13x 23

342:2x 3x 3x 19

685:5x 137

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 = 43849252980/(1x2)

LCM = 43849252980/2

LCM = 21924626490

Thus, we can understand that the LCM of 313,598,342,685 is 21924626490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 313, 598, 342, 685

1. What is the LCM of 313, 598, 342, 685?

Answer: LCM of 313, 598, 342, 685 is 21924626490.

2. How to calculate the LCM of 313, 598, 342, 685?

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, 598, 342, 685.

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}.