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LCM of 694, 616, 687

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


Find the LCM of 694, 616, 687 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 694, 616, 687. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 694,616,687

Given numbers are 694,616,687

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

The LCM of 694,616,687 is 146847624.

Find LCM of 694,616,687 with Prime Factorization


2 694, 616, 687
347, 308, 687

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

2 x 347 x 308 x 687 = 146847624

Therefore, the lowest common multiple of 694,616,687 is 146847624.

LCM Formula to Find Lowest Common Multiple of 694,616,687

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.

694 x 616 x 687 = 293695248

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.

694 : 1, 2, 347, 694

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,616,687, is 1.

Now, the common factors can be found like this.

694:2x 347

616:2x 2x 2x 7x 11

687:3x 229

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 = 293695248/(1x2)

LCM = 293695248/2

LCM = 146847624

Thus, we can understand that the LCM of 694,616,687 is 146847624.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 694, 616, 687

1. What is the LCM of 694, 616, 687?

Answer: LCM of 694, 616, 687 is 146847624.

2. How to calculate the LCM of 694, 616, 687?

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 694, 616, 687.

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}.