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LCM of 687, 208, 416, 107

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


Find the LCM of 687, 208, 416, 107 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 687, 208, 416, 107. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 687,208,416,107

Given numbers are 687,208,416,107

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

The LCM of 687,208,416,107 is 30579744.

Find LCM of 687,208,416,107 with Prime Factorization


2 687, 208, 416, 107
2 687, 104, 208, 107
2 687, 52, 104, 107
2 687, 26, 52, 107
13 687, 13, 26, 107
687, 1, 2, 107

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

2 x 2 x 2 x 2 x 13 x 687 x 1 x 2 x 107 = 30579744

Therefore, the lowest common multiple of 687,208,416,107 is 30579744.

LCM Formula to Find Lowest Common Multiple of 687,208,416,107

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.

687 x 208 x 416 x 107 = 6360586752

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.

687 : 1, 3, 229, 687

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,208,416,107, is 1.

Now, the common factors can be found like this.

687:3x 229

208:2x 2x 2x 2x 13

416:2x 2x 2x 2x 2x 13

107:107

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 13 = 208

Therefore, the value for common factors is 208.

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 = 6360586752/(1x208)

LCM = 6360586752/208

LCM = 30579744

Thus, we can understand that the LCM of 687,208,416,107 is 30579744.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 687, 208, 416, 107

1. What is the LCM of 687, 208, 416, 107?

Answer: LCM of 687, 208, 416, 107 is 30579744.

2. How to calculate the LCM of 687, 208, 416, 107?

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 687, 208, 416, 107.

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}.