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LCM of 892, 793, 187, 298

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


Find the LCM of 892, 793, 187, 298 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, 793, 187, 298. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 892,793,187,298

Given numbers are 892,793,187,298

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

The LCM of 892,793,187,298 is 19709060228.

Find LCM of 892,793,187,298 with Prime Factorization


2 892, 793, 187, 298
446, 793, 187, 149

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

2 x 446 x 793 x 187 x 149 = 19709060228

Therefore, the lowest common multiple of 892,793,187,298 is 19709060228.

LCM Formula to Find Lowest Common Multiple of 892,793,187,298

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 793 x 187 x 298 = 39418120456

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

793 : 1, 13, 61, 793

187 : 1, 11, 17, 187

298 : 1, 2, 149, 298

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,793,187,298, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

793:13x 61

187:11x 17

298:2x 149

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 = 39418120456/(1x2)

LCM = 39418120456/2

LCM = 19709060228

Thus, we can understand that the LCM of 892,793,187,298 is 19709060228.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 892, 793, 187, 298

1. What is the LCM of 892, 793, 187, 298?

Answer: LCM of 892, 793, 187, 298 is 19709060228.

2. How to calculate the LCM of 892, 793, 187, 298?

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, 793, 187, 298.

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}.