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LCM of 788, 674, 895, 277, 831

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


Find the LCM of 788, 674, 895, 277, 831 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 788, 674, 895, 277, 831. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 788,674,895,277,831

Given numbers are 788,674,895,277,831

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

The LCM of 788,674,895,277,831 is 197505947220.

Find LCM of 788,674,895,277,831 with Prime Factorization


2 788, 674, 895, 277, 831
277 394, 337, 895, 277, 831
394, 337, 895, 1, 3

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

2 x 277 x 394 x 337 x 895 x 1 x 3 = 197505947220

Therefore, the lowest common multiple of 788,674,895,277,831 is 197505947220.

LCM Formula to Find Lowest Common Multiple of 788,674,895,277,831

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.

788 x 674 x 895 x 277 x 831 = 109418294759880

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.

788 : 1, 2, 4, 197, 394, 788

674 : 1, 2, 337, 674

895 : 1, 5, 179, 895

277 : 1, 277

831 : 1, 3, 277, 831

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,674,895,277,831, is 1.

Now, the common factors can be found like this.

788:2x 2x 197

674:2x 337

895:5x 179

277:277

831:3x 277

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

2x 277 = 554

Therefore, the value for common factors is 554.

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 = 109418294759880/(1x554)

LCM = 109418294759880/554

LCM = 197505947220

Thus, we can understand that the LCM of 788,674,895,277,831 is 197505947220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 788, 674, 895, 277, 831

1. What is the LCM of 788, 674, 895, 277, 831?

Answer: LCM of 788, 674, 895, 277, 831 is 197505947220.

2. How to calculate the LCM of 788, 674, 895, 277, 831?

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 788, 674, 895, 277, 831.

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}.