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LCM of 313, 680, 561, 125

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


Find the LCM of 313, 680, 561, 125 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, 680, 561, 125. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 313,680,561,125

Given numbers are 313,680,561,125

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

The LCM of 313,680,561,125 is 175593000.

Find LCM of 313,680,561,125 with Prime Factorization


5 313, 680, 561, 125
17 313, 136, 561, 25
313, 8, 33, 25

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

5 x 17 x 313 x 8 x 33 x 25 = 175593000

Therefore, the lowest common multiple of 313,680,561,125 is 175593000.

LCM Formula to Find Lowest Common Multiple of 313,680,561,125

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 680 x 561 x 125 = 14925405000

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

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

561 : 1, 3, 11, 17, 33, 51, 187, 561

125 : 1, 5, 25, 125

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,680,561,125, is 1.

Now, the common factors can be found like this.

313:313

680:2x 2x 2x 5x 17

561:3x 11x 17

125:5x 5x 5

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

5x 17 = 85

Therefore, the value for common factors is 85.

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 = 14925405000/(1x85)

LCM = 14925405000/85

LCM = 175593000

Thus, we can understand that the LCM of 313,680,561,125 is 175593000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 313, 680, 561, 125

1. What is the LCM of 313, 680, 561, 125?

Answer: LCM of 313, 680, 561, 125 is 175593000.

2. How to calculate the LCM of 313, 680, 561, 125?

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, 680, 561, 125.

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}.