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LCM of 892, 210, 898

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


Find the LCM of 892, 210, 898 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, 210, 898. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 892,210,898

Given numbers are 892,210,898

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

The LCM of 892,210,898 is 42053340.

Find LCM of 892,210,898 with Prime Factorization


2 892, 210, 898
446, 105, 449

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

2 x 446 x 105 x 449 = 42053340

Therefore, the lowest common multiple of 892,210,898 is 42053340.

LCM Formula to Find Lowest Common Multiple of 892,210,898

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 210 x 898 = 168213360

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

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

898 : 1, 2, 449, 898

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,210,898, is 2.

Now, the common factors can be found like this.

892:2x 2x 223

210:2x 3x 5x 7

898:2x 449

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 = 168213360/(2x2)

LCM = 168213360/4

LCM = 42053340

Thus, we can understand that the LCM of 892,210,898 is 42053340.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 892, 210, 898

1. What is the LCM of 892, 210, 898?

Answer: LCM of 892, 210, 898 is 42053340.

2. How to calculate the LCM of 892, 210, 898?

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, 210, 898.

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}.