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LCM of 686, 536, 864, 994, 691

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


Find the LCM of 686, 536, 864, 994, 691 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 686, 536, 864, 994, 691. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 686,536,864,994,691

Given numbers are 686,536,864,994,691

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

The LCM of 686,536,864,994,691 is 974134806624.

Find LCM of 686,536,864,994,691 with Prime Factorization


2 686, 536, 864, 994, 691
2 343, 268, 432, 497, 691
2 343, 134, 216, 497, 691
7 343, 67, 108, 497, 691
49, 67, 108, 71, 691

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

2 x 2 x 2 x 7 x 49 x 67 x 108 x 71 x 691 = 974134806624

Therefore, the lowest common multiple of 686,536,864,994,691 is 974134806624.

LCM Formula to Find Lowest Common Multiple of 686,536,864,994,691

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.

686 x 536 x 864 x 994 x 691 = 218206196683776

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.

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

536 : 1, 2, 4, 8, 67, 134, 268, 536

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

994 : 1, 2, 7, 14, 71, 142, 497, 994

691 : 1, 691

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,536,864,994,691, is 1.

Now, the common factors can be found like this.

686:2x 7x 7x 7

536:2x 2x 2x 67

864:2x 2x 2x 2x 2x 3x 3x 3

994:2x 7x 71

691:691

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

2x 2x 2x 2x 2x 7 = 224

Therefore, the value for common factors is 224.

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 = 218206196683776/(1x224)

LCM = 218206196683776/224

LCM = 974134806624

Thus, we can understand that the LCM of 686,536,864,994,691 is 974134806624.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 686, 536, 864, 994, 691

1. What is the LCM of 686, 536, 864, 994, 691?

Answer: LCM of 686, 536, 864, 994, 691 is 974134806624.

2. How to calculate the LCM of 686, 536, 864, 994, 691?

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 686, 536, 864, 994, 691.

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}.