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LCM of 687, 892, 338, 461

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


Find the LCM of 687, 892, 338, 461 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, 892, 338, 461. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 687,892,338,461

Given numbers are 687,892,338,461

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

The LCM of 687,892,338,461 is 47742946836.

Find LCM of 687,892,338,461 with Prime Factorization


2 687, 892, 338, 461
687, 446, 169, 461

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

2 x 687 x 446 x 169 x 461 = 47742946836

Therefore, the lowest common multiple of 687,892,338,461 is 47742946836.

LCM Formula to Find Lowest Common Multiple of 687,892,338,461

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 892 x 338 x 461 = 95485893672

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

892 : 1, 2, 4, 223, 446, 892

338 : 1, 2, 13, 26, 169, 338

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,892,338,461, is 1.

Now, the common factors can be found like this.

687:3x 229

892:2x 2x 223

338:2x 13x 13

461:461

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 = 95485893672/(1x2)

LCM = 95485893672/2

LCM = 47742946836

Thus, we can understand that the LCM of 687,892,338,461 is 47742946836.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 687, 892, 338, 461

1. What is the LCM of 687, 892, 338, 461?

Answer: LCM of 687, 892, 338, 461 is 47742946836.

2. How to calculate the LCM of 687, 892, 338, 461?

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, 892, 338, 461.

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}.