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LCM of 686, 706, 407, 548

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


Find the LCM of 686, 706, 407, 548 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, 706, 407, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 686,706,407,548

Given numbers are 686,706,407,548

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

The LCM of 686,706,407,548 is 27004975844.

Find LCM of 686,706,407,548 with Prime Factorization


2 686, 706, 407, 548
343, 353, 407, 274

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

2 x 343 x 353 x 407 x 274 = 27004975844

Therefore, the lowest common multiple of 686,706,407,548 is 27004975844.

LCM Formula to Find Lowest Common Multiple of 686,706,407,548

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 706 x 407 x 548 = 108019903376

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

706 : 1, 2, 353, 706

407 : 1, 11, 37, 407

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,706,407,548, is 1.

Now, the common factors can be found like this.

686:2x 7x 7x 7

706:2x 353

407:11x 37

548:2x 2x 137

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 108019903376/(1x4)

LCM = 108019903376/4

LCM = 27004975844

Thus, we can understand that the LCM of 686,706,407,548 is 27004975844.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 686, 706, 407, 548

1. What is the LCM of 686, 706, 407, 548?

Answer: LCM of 686, 706, 407, 548 is 27004975844.

2. How to calculate the LCM of 686, 706, 407, 548?

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, 706, 407, 548.

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}.