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LCM of 877, 686, 807, 680

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


Find the LCM of 877, 686, 807, 680 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 877, 686, 807, 680. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 877,686,807,680

Given numbers are 877,686,807,680

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

The LCM of 877,686,807,680 is 165073044360.

Find LCM of 877,686,807,680 with Prime Factorization


2 877, 686, 807, 680
877, 343, 807, 340

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

2 x 877 x 343 x 807 x 340 = 165073044360

Therefore, the lowest common multiple of 877,686,807,680 is 165073044360.

LCM Formula to Find Lowest Common Multiple of 877,686,807,680

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.

877 x 686 x 807 x 680 = 330146088720

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.

877 : 1, 877

686 : 1, 2, 7, 14, 49, 98, 343, 686

807 : 1, 3, 269, 807

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 877,686,807,680, is 1.

Now, the common factors can be found like this.

877:877

686:2x 7x 7x 7

807:3x 269

680:2x 2x 2x 5x 17

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 = 330146088720/(1x2)

LCM = 330146088720/2

LCM = 165073044360

Thus, we can understand that the LCM of 877,686,807,680 is 165073044360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 877, 686, 807, 680

1. What is the LCM of 877, 686, 807, 680?

Answer: LCM of 877, 686, 807, 680 is 165073044360.

2. How to calculate the LCM of 877, 686, 807, 680?

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 877, 686, 807, 680.

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}.