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LCM of 892, 205, 410, 339

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


Find the LCM of 892, 205, 410, 339 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 892, 205, 410, 339. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 892,205,410,339

Given numbers are 892,205,410,339

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

The LCM of 892,205,410,339 is 61989540.

Find LCM of 892,205,410,339 with Prime Factorization


2 892, 205, 410, 339
5 446, 205, 205, 339
41 446, 41, 41, 339
446, 1, 1, 339

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

2 x 5 x 41 x 446 x 1 x 1 x 339 = 61989540

Therefore, the lowest common multiple of 892,205,410,339 is 61989540.

LCM Formula to Find Lowest Common Multiple of 892,205,410,339

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.

892 x 205 x 410 x 339 = 25415711400

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.

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

205 : 1, 5, 41, 205

410 : 1, 2, 5, 10, 41, 82, 205, 410

339 : 1, 3, 113, 339

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,205,410,339, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

205:5x 41

410:2x 5x 41

339:3x 113

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

2x 5x 41 = 410

Therefore, the value for common factors is 410.

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 = 25415711400/(1x410)

LCM = 25415711400/410

LCM = 61989540

Thus, we can understand that the LCM of 892,205,410,339 is 61989540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 892, 205, 410, 339

1. What is the LCM of 892, 205, 410, 339?

Answer: LCM of 892, 205, 410, 339 is 61989540.

2. How to calculate the LCM of 892, 205, 410, 339?

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 892, 205, 410, 339.

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}.