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LCM of 685, 835, 240, 919, 185

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


Find the LCM of 685, 835, 240, 919, 185 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 685, 835, 240, 919, 185. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 685,835,240,919,185

Given numbers are 685,835,240,919,185

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

The LCM of 685,835,240,919,185 is 186709112880.

Find LCM of 685,835,240,919,185 with Prime Factorization


5 685, 835, 240, 919, 185
137, 167, 48, 919, 37

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

5 x 137 x 167 x 48 x 919 x 37 = 186709112880

Therefore, the lowest common multiple of 685,835,240,919,185 is 186709112880.

LCM Formula to Find Lowest Common Multiple of 685,835,240,919,185

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.

685 x 835 x 240 x 919 x 185 = 23338639110000

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.

685 : 1, 5, 137, 685

835 : 1, 5, 167, 835

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

919 : 1, 919

185 : 1, 5, 37, 185

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,835,240,919,185, is 1.

Now, the common factors can be found like this.

685:5x 137

835:5x 167

240:2x 2x 2x 2x 3x 5

919:919

185:5x 37

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

5x 5x 5 = 125

Therefore, the value for common factors is 125.

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 = 23338639110000/(1x125)

LCM = 23338639110000/125

LCM = 186709112880

Thus, we can understand that the LCM of 685,835,240,919,185 is 186709112880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 685, 835, 240, 919, 185

1. What is the LCM of 685, 835, 240, 919, 185?

Answer: LCM of 685, 835, 240, 919, 185 is 186709112880.

2. How to calculate the LCM of 685, 835, 240, 919, 185?

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 685, 835, 240, 919, 185.

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}.