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LCM of 892, 170, 314, 866

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


Find the LCM of 892, 170, 314, 866 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, 170, 314, 866. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 892,170,314,866

Given numbers are 892,170,314,866

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

The LCM of 892,170,314,866 is 5154319420.

Find LCM of 892,170,314,866 with Prime Factorization


2 892, 170, 314, 866
446, 85, 157, 433

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

2 x 446 x 85 x 157 x 433 = 5154319420

Therefore, the lowest common multiple of 892,170,314,866 is 5154319420.

LCM Formula to Find Lowest Common Multiple of 892,170,314,866

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 170 x 314 x 866 = 41234555360

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

170 : 1, 2, 5, 10, 17, 34, 85, 170

314 : 1, 2, 157, 314

866 : 1, 2, 433, 866

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,170,314,866, is 2.

Now, the common factors can be found like this.

892:2x 2x 223

170:2x 5x 17

314:2x 157

866:2x 433

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 41234555360/(2x4)

LCM = 41234555360/8

LCM = 5154319420

Thus, we can understand that the LCM of 892,170,314,866 is 5154319420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 892, 170, 314, 866

1. What is the LCM of 892, 170, 314, 866?

Answer: LCM of 892, 170, 314, 866 is 5154319420.

2. How to calculate the LCM of 892, 170, 314, 866?

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, 170, 314, 866.

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}.