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LCM of 6987, 1207

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


Find the LCM of 6987, 1207 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 6987, 1207. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6987,1207

Given numbers are 6987,1207

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

The LCM of 6987,1207 is 496077.

Find LCM of 6987,1207 with Prime Factorization


17 6987, 1207
411, 71

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

17 x 411 x 71 = 496077

Therefore, the lowest common multiple of 6987,1207 is 496077.

LCM Formula to Find Lowest Common Multiple of 6987,1207

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.

6987 x 1207 = 8433309

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.

6987 : 1, 3, 17, 51, 137, 411, 2329, 6987

1207 : 1, 17, 71, 1207

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6987,1207, is 17.

Now, the common factors can be found like this.

6987:3x 17x 137

1207:17x 71

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

= 1

Therefore, the value for common factors is 1.

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 = 8433309/(17x1)

LCM = 8433309/17

LCM = 496077

Thus, we can understand that the LCM of 6987,1207 is 496077.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6987, 1207

1. What is the LCM of 6987, 1207?

Answer: LCM of 6987, 1207 is 496077.

2. How to calculate the LCM of 6987, 1207?

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 6987, 1207.

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}.